Find the equation of the line that passes through (-3,1) and is parallel to y = 1 − 2 x . Leave your answer in the form y = m x + c

Answers

Answer 1

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y - 1 = 0 ( subtract 3x - 1 from both sides )

y = - 3x + 1 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (1, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = - 3x + 7 ← equation of line in form y = mx + c


Related Questions

Write an equation of a line that passes through the point (2, 0) and is perpendicular to the line y=-1/2x+3

Answers

Answer:

I think it's. y=-2/1x+2

Evaluate the expression m+np−q if m=1/15, n=−1/3, p=−0.4, and q=2 1/3. Express your answer as a decimal. Use bar notation if necessary.

Answers

Answer:

-2.4, or -72/30 or -2 4/10

Step-by-step explanation:

m + np - q

m = 1/15

n = -1/3

p = -0.4

q = 2 1/3

1/15 + (1/3)(-0.4) - 2 1/3

1/15 + (-4/30) - 2 1/3

2/30 - 4/30 - 70/30

-2/30 - 70/30 = -72/30

-72/30 = -2.4

-Chetan K

i need help with something pls help asap​

Answers

Answer: h < 7

Step-by-step explanation:

h + 3 < 10

h + 3 - 3 < 10 - 3

simplify:

h < 7

I would appreciate if you answered!

Answers

Answer:

None of those options

Step-by-step explanation:

I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options.  Here's my work:

[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]

I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)

solve the short line equation, image attached, giving brainliest please help

Answers

Answer:

x = 3

Step-by-step explanation:

2 - 2x = -3 - -1

2 - 2x = -4

-2x = -6

-2x / -2 = 1x

-6 / -2 = 3

ur answer is then 1x = 3 or x = 3.

help me fro brainleist.........

Answers

Answer:

2nd one is parallel and last one is perpendicular.

What are the names of these polygons?
a)
b)
c)
d)

can anyone help pls?

Answers

is there a photo you can attach? because i see no polygons to label

Please help. ( WILL MARK BRAINLIEST)

Answers

Answer:

499.2 cm^2

Step-by-step explanation:

((12*10.4)/2)*8=6*10.4*8=499.2

Formulas Used:

Area of triangle - 1/2bh

Answer the question below:

A: 2 units right and 6 units up

B: 6 units left and 2 units down

C: 2 units left and 6 units up

D: 6 units right and 2 units down

Answers

Answer:

c

Step-by-step explanation:

A formula is given with the value of all but one of the variables in the formula. Find the value of the variable not given.
P=2L + 2W; L= 4, W = 8

Answers

Answer:

P = 24

Step-by-step explanation:

P = 2L + 2W ( substitute L = 4, W = 8 into the formula )

P = 2(4) + 2(8) = 8 + 16 = 24

Answer :

Step-by-step explanation:

P=2(4)+2(8)

P=8+16

P= 24

The area of the octagon below is 10,391. 9 square millimeters. An octagon has an apothem of 56 millimeters and an area of 10,391. 90 square millimeters. What is the approximate perimeter of the octagon? Round to the nearest whole number. Mm What is the approximate length of one side of the octagon? Round to the nearest whole number. Mm.

Answers

The perimeter of the octogon is 371.14 millimeters, and each side is about 46.4 millimeters.

Given that an octagon has an apothem of 56 millimeters and an area of 10,391.90 square millimeters, to determine what is the approximate perimeter of the octagon and what is the approximate length of one side of the octagon, the following calculation must be performed:

(Perimeter x apothem) / 2 = Area 56X / 2 = 10,391.90 56X = 10,391.90 x 2 X = 20,783.80 / 56 X = 371,139 371.14 / 8 = 46.4

Therefore, the perimeter of the octagon is 371.14 millimeters, and each side is about 46.4 millimeters.

Learn more about maths in https://brainly.com/question/25749130

Answer:

Perimeter is 371mm

Length of one side is 46mm

Step-by-step explanation:

Got it right on Edge :)

A store had a 20% off
Black Friday sale. One item was
originally $75. How much was it on
sale for

Answers

Answer:

$60

Step-by-step explanation:

20% off means 80% of original price

80% = 8/10 or 0.8

75 * 0.8 = 60

you could also do 20% = 1/5, 1/5 of 75 is 15, 75-15=60

Please help (picture is linked)

Answers

Answer:

[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]

y-intercept: (0, 32), b = 32

[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

Step-by-step explanation:

Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.

Slope

Use these points to solve for the slope of their line.

Let (x₁, y₁) = (0, 32)

    (x₂, y₂) = (100, 212)

Substitute these points into the following formula for the slope:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]

[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]

Therefore, the slope of the line is  [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].

Y-intercept:

Next, the given problem asks for the value of the y-intercept.  The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.

To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]

212 = 180 + b

Subtract 180 from both sides to isolate b:

212 - 180 = 180 - 180 + b

32 = b

The y-intercept is (0, 32), where b = 32.

Slope-intercept form:

Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex],  and the y-intercept, b = 32:

The linear equation in slope-intercept form is:  [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

find the least length of a rod which can be cut into exactly epual strips,each of either 36cm or 42cm in length​

Answers

Step-by-step explanation:

so, we need to find the smallest common multiple of 36 and 42.

that is the smallest number I can divide both by 36 and 42 without remain.

let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :

36 / 2 = 18

18 / 2 = 9

9 / 3 = 3

3 / 3 = 1 finished

therefore,

36 = 2×2×3×3

42 / 2 = 21

21 / 3 = 7

7 / 5 does not work

7 / 7 = 1 finished

therefore,

42 = 2×3×7

to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.

and we see 2 times 2, 2 times 3 and 1 time 7.

so, the SCM = 2×2×3×3×7 = 252.

there is no smaller number that can be divided by both 36 and 42 without remain.

so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).

Tom walks 3.14 km to the park. He then walks a further 670 m to the shop.
How many km has Tom walked in total?

Answers

Answer:

3.81 km

Step-by-step explanation:

You first have to get the meters into kilometers. The conversion rate for this is 1 meter = 0.001 kilometer.

So multiply 670 by 0.001 which gives you 0.67.

Then add this to the amount he has already walked to get the total amount of kilometers he has walked.

Answer:

3.81 or

[tex]3 \frac{81}{100} [/tex]

Step-by-step explanation:

explanation above

What is a rate in math.

Answers

Answer:

a ratio between two different units

for example 60miles per 5 hours

Step-by-step explanation:

let me know if you need unit rate yoo :)

4(x-3)/8=y change the subject to x

Answers

4(x-3)/8 = y
4(x-3) = 8y
4x - 12 = 8y
4x = 8y + 12
x = 2y + 3

taxi Cab Company B: $6.50 per ride and $0.50 per mile

Express in the table the cost of the cab ride given the number of miles. Hint: Fill in the table above using cost for company B.
Write an equation in slope-intercept form to represent the cost of a taxi ride using company B. Hint: use y= mx+b
Y = __________________
What does the slope mean in the context of this problem?
Hint: What changes the further you ride?

Answers

Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50

Cost per ride = $6.50Cost per mile = $0.50

Using the slope - intercept relation :

y = bx + c

b = change in cost per mile

c = constant price added for every taxi ride

Hence, the expression can be written thus :

y = 0.5x + 6.50

Learn more : https://brainly.com/question/17225268

Which scatter plot shows a positive linear association

Answers

Answer:

Plot A

Step-by-step explanation:

Both B and C show a decreasing plot, while C is linear.

Only A is a positive ignoring the outliers.

Angles of a triangle worksheet
I got most of it but still confused on the rest… anyone got answers ASAP!

Answers

Answer:

I wish a could help u,

Step-by-step explanation:

I dont know what is that:)

Please help homework due tomorrow!!

12. Ms. Kerr needs $450 to purchase new volleyballs. She has already saved 65% of the money, how much
additional money does she need to save to have enough to purchase the equipment?

13. A 6th grade student is 5 feet tall and casts a 12 foot shadow. How tall is the 8th grader standing next to
him that casts a 14.4 foot shadow?

Answers

Answer:

12-157.5  13-6ft

Step-by-step explanation:

the first one just look up 65% of 450 and minus the number you get by 450

the second one do the butterfly method

[tex]\frac{5}{12} \frac{x}{14.4} \\[/tex]

the heights on top and shadows on bottom

12x=72

x=6

solve pls brainliest

Answers

Answer:

20yd²

Step-by-step explanation:

6 × 6 = 36

4 × 4 = 16

36

-16

20

The area of the garden is gonna be 20 yards squared (20yd^2)

2.
Which is the solution of the system of equations?
y = x - 4
y = -3x
A. (3, -1)
B. (-3, 1)
C. (-1, 3)
D. (1,-3)

Please explain

Answers

Answer:

x = 1

y = -3

Step-by-step explanation:

There are 2 ways, in this case the best way is by substitution so:

y = x - 4

y = -3x

basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.

y = -3x

so that means that

-3x = x - 4

you solve the equation:

-3x - x = -4

-4x = -4

x = -4 : -4

x = 1

Now we know that x is 1 so now we find out what is y

y = 1 - 4

y = -3

Type the missing digit below
6,387,_36 is divisible by 8.

Answers

The missing digit is: any odd number from 1-10. Only odd so: 1,3,5,7,9 would work! Hope this helps!! :)

if an angle is bisected to form two new 16° angles, what was the measure or the original angle

Answers

Answer:

32°

Step-by-step explanation:

16 × 2 = 32

Keywords:

Bisected; means to divide into two parts.

Answer:

So, original angle = 16°+16° =>32°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Y=2x + 11
Solve the problem.

Answers

[tex]y = 2 \times + 11 = x = - \frac{11}{2} [/tex]

Answer:

[tex]x = - \frac{11}{2} [/tex]

x= -11/2

this is also a linear function related to y=mx+b

What is the factorization of the expression below?
42 - 9y2
O A. (4x - 3y)(x + 3y)
B. (4x-3y)(x - 3y)
O C. (2x-3)(2x-3y)
O D. (2x-3)(2x + 3y)

Answers

[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]

There are no like terms so we can't simplify itFactoring

[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]

[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]

Answer:

Choice D

Step-by-step explanation:

Factorise: 4x²-9y²

We can obtain the factorization by this identity:

a² - b² = (a+b)(a-b)

Rewrite the given expression as:

(2x)² - (3y)²

Let (2x)² be a and (3y)² be b according to the identity.

So applying the identity:

(2x+3y)(2x-3y)(2x-3y)(2x+3y)

Choice D is accurate.

3
15. 6x + 10y=0
Find the slipe

Answers

Answer: y = -3/5x

............................................

The answer above me is incorrect, the slope is -3/5x

Here is how i did it:
6x + 10y = 0
-6x. -6x
10y = -6x
——. ——
10. 10
y=-3/5x


Slope intercept form is y=mx+b, and the
original equation was not in that form so 6 is not the slope, it’s is -3/5


Roy bought a drum set for $422 and a guitar E La
for $358. If sales tax is 7.5%, what is the total
a free
cost of the instruments, including tax?
The in
amour

Answers

Answer:

The final total including tax is 838.5

The sale tax is 58.5

Step-by-step explanation:

The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increase?

Answers

Answer: Percentage increase is 87.02%.

Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.

a. Subtract value in 2012 from value in 2011

b. Divide the answer in part a by value in 2011.

c. Multiply the answer in part b by 100.

We have the percentage increase.

mark brainliest pls

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