write an equation of the line passing through the point (3,2) and is parallel to the line y=\frac{1}{3}x-3


need answer ASAP

Answers

Answer 1

Answer:

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y = \frac{1}{3}x-3[/tex]

Slope-intercept form of a line is given by:

[tex]y = mx+b[/tex]

Comparing the given equation of line with general form we get

m = 1/3

Let m1 be the slope of line parallel to given line

Then the equation of line will be:

[tex]y = m_1x+b[/tex]

We know, "Slopes of two parallel lines are equal"

Which means

[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]

Putting the value of slope

[tex]y = \frac{1}{3}x+b[/tex]

Putting the point (3,2) in the equation

[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]

Final equation of line is:

[tex]y = \frac{1}{3}x+1[/tex]

Hence,

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]


Related Questions

Solve the radical equation. Quick !!! Show work !
-26x + 3 = -18

Answers

Answer:

12

Step-by-step explanation:

[tex]-2\sqrt{6x+3} = -18[/tex]

divide both sides by negative 2

[tex]\sqrt{6x+3} = 9[/tex]

square both sides

6x+3=81

6x=78

x=12

(GIVING BRAINILEST) The dot plots show the number of crackers per box for two different brands Which of he following statements is correct

Answers

Answer:

A

Step-by-step explanation:

Answer:

The mean for brand B is lower than the mean for brand A.

Step-by-step explanation:

Test appoved

what is the soulution to the equation 13 3/4+x=7 1/4​

Answers

Step-by-step explanation:

[tex]13 \frac{3}{4 } + x = 7 \frac{1}{4} [/tex]

[tex] \frac{55}{4} + x = \frac{29}{4} [/tex]

[tex]x = \frac{29}{4} - \frac{55}{4} [/tex]

[tex]x = - \frac{13}{2} [/tex]

Please answer the question, i took a picture of it.

Answers

Answer:

640 is the Answer

Step-by-step explanation:

Answer:

1360 square inches

Step-by-step explanation:

So to find area, you do bh

b is base

h is height

The base the of the rectangle going vertical in the plus sign is first.

The base is 20 and the height is 44

20 times 44 yields 880

then the two rectangles on either side of the bigger rectangle.

20 is the height, 12 is the base.

20 times 12 yields 240

there are two of those rectangles so

240 times 2 yields 480

480 plus 880 yields 1360

At aa car dealership, for every 4 silver cars that are sold, 6 red cards are also sold. If 90 cars. Total are sold in a month, how many silver cars were sold?

Answers

Answer: 36

Step-by-step explanation:

From the question, we are informed that for every 4 silver cars that are sold, 6 red cards are also sold.

When there are 90 cars sold in a month, the number of silver cars that were sold would be:

= [4 / (4 + 6)] × 90

= 4/10 × 90

= 4 × 9

= 36 silver cars

The average of the integers 4, 9, 10, 14, a, and b is 10. Find the sum of a and b.

Answers

Answer:

The answer is A = 14 B = 4  14 - 4 = 10 I think.

Step-by-step explanation:

It's not a sum its a difference because this is a subtraction problem I think.

What is the surface area of the cylinder with height 5 yd and radius 7 yd?

Answers

Answer:

168*pi square yards.

Step-by-step explanation:

So, first the surface area of a cylinder is the sum of the two circles plus the rectangle forming the column.

The area of the column is the height x perimeter of the circle

and

The area of the circles is pi x radius^2

Just add all of those up.

Column: 5 * 2 * pi * 7 = height * 2pi * radius = 70*pi

2 x Circle = 2 x pi * 7^2 = 2x49*pi = 98*pi

Sum: 70*pi + 98*pi = 168* pi

Write the rule to describe the transformation.
C(4,-5), D(3,-1), E(5,-3)
C'(2,-2.5), D'(1.5, -0.5), E' (2.5,-1.5)

Answers

Answer:

(x, y) ----> (x - 2, y + 2.5)

This is the rule because a letter with an apostrophe is the image after. If it has no apostophre, it is the PRE-IMAGE. Let's look at C.

C (4, -5)

C'(2, -2.5)

4-2 = 2

-5+2.5 = -2.5

Since those are the coordinates of C', that is your rule.

How much would your total be if you bought 2 lbs of ground
beef and 1 lb of steak?
Beef:$5.99$ per lb
Steak:$9.99 per lb

Answers

Answer:

$21.97

Step-by-step explanation:

2(5.99)+ 1(9.99) = 11.98 + 9.99 = 21.97

It would be 12$ because plus tax would be 6$ and 6+6 is 12

complete the function table for the given domain and plot the points on the graph f(x)=(x-5)^2+1

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f(x) = (x-5)²+1

put x = 2

f(2) = (2-5)²+1 = (-3)²+1 = 9+1 = 10

put x = 3

f(3) = (3-5)²+1 = (-2)²+1 = 4+1 = 5

put x = 4

f(4) = (4-5)²+1 = (-1)²+1 = 1+1 = 2

put x = 5

f(5) = (5-5)²+1 = (0)²+1 = 0 + 1 = 1

put x = 6

f(5) = (6-5)²+1 = (1)²+1 = 1 + 1 = 2

Thus, the table wil be completed as:

x           2         3       4         5        6

f(x)         10        5       2         1        2

Please check the attached figure for the plotting graph.  

Answer:

He is correct^^^^^^

Step-by-step explanation:

just took the test

Question on the photo

Answers

Answer:

C

Step-by-step explanation:

Since it is only addition and subtraction, you can rearrange the order of the equations. This is what the three eqautions will look like after the arrangement:

1.6z + 8.3 z = ? (9.9z)

6.2y - 5.1y = ? (1.1y)

4.3x + 5.5x = ? (9.8x)

Then you just add and subtract.

Paige's sock drawer has 3 pairs of black socks, 6 pairs of green socks,
and 1 pair of white socks. If she picks a pair at random, what is the
probability she will pick a green pair?*
1/10
2/5
3/10
O 3/5

Answers

Answer:

3/5

Step-by-step explanation:

3 + 6 + 1 = 10

6 green, 6/10

3/5

Answer:

3/5

Step-by-step explanation:

Write an equation in point slope form for the line through the given point with the given slope.
(-7, 9); m: 4/5

A. y+7=4/5(x-9)
B. y-7=4/5(x+9)
C. y-9=4/5(x-7)
D. y+9=4/5(x-7)

❤︎

Answers

Answer:

Ans C

m=4/5

X1= -7

Y1 = 9

Y-Y1=m(X-X1)

Y-9=4/5(X-(-7))

Y-9=4/5(X+7)

Solve 5x+3=3x+11

Please can someone answer this.​

Answers

5x + 3 = 3x + 11

• first put all the x-values on one side and the rest on the other

Remember: when the number moves to the other side of the equal sign the sign (+ OR - switches. For ex: the 3 on the left becomes negative when moved to the right side of the equal sign)

5x - 3x = 11 - 3

• subtract left and right sides separately

2x = 8

• divide both sides by 2 to solve for x

2x/2 = 8/2

x = 4 (final answer)

5x+3=3x+11
2x+3=11
2x= 8

x=4

crash my math class
i will put the link in the comment section. half of it in one comment and the other one in the next comment.
my class ends at 11:30 so hurry!!

Answers

Answer:

ok

Step-by-step explanation:

Answer:

didn't work

Step-by-step explanation:

The original price of a computer is $1,500? How much do you save if you receive a 16% discount?

Answers

Answer:

240, i think

Step-by-step explanation:

answers for the 2 boxes please :)​

Answers

(-3,-6) i hope this helps
have a great day!:)

HELP HELP HELP!!!!! Please help!

Answers

Answer:

Regular peanut butter - .23

Family Size Peanut Butter - .15

Answer:

#1: 0.23

#2: 0.15

Step-by-step explanation:

1.38/ 6= 0.23

6*0.23= 1.38

7.80/ 52= 0.15

0.15*52= 7.80

Antonio tried to evaluate an expression. Here is his work: (57–8+5)÷9(17–14) = (49+5)÷93 Step 1 = (49+5)÷27 Step 2 = 54÷27 Step 3 = 2 Step 4 Is Antonio's work correct?

Answers

Answer:

Antonio's work is correct but his method is not

Step-by-step explanation:

(57–8+5)÷9(17–14) = (49+5)÷9

Antonio work:

Step 1 = (49+5)÷27

Step 2 = 54÷27

Step 3 = 2

Correct working:

Step 1:

Addition first

-8 + 5 = -3

= (57 - 3) ÷ 9(3)

Step 2:

= 54 ÷ 27

Step 3:

= 2

Antonio's work is correct but his method is not

He subtracted first when he is supposed to add first according to the rule of BODMAS

B - bracket

O - off

D - division

M - multiplication

A - Addition

S - subtraction

I’m just doing it for my niece but who knows it

Answers

Answer:

I personally think the third one

Step-by-step explanation:

A student examines the triangle shown above. He notices that lines BE andCD look parallel. The student claims that they are parallel by look aLone ?


Answers

I can’t see any photo

_____________________________________

Answers

Answer:what is this

Step-by-step explanation:

Evaluate −12(−2). (1 point) a 14 b −14 c −24 d 24

Answers

Answer:

d.24

Step-by-step explanation:

12*2=24 and a negative times a negative always equals a positive.

Solving One Step Equations. SHOW YOUR WORK
-143 = -11x solve to find x

Answers

Divide - 11 to both sides giving you 13 as the answer

Step-by-step explanation:

-143 = -11x : Original problem

[tex]\frac{-143}{-11}[/tex] = [tex]\frac{-11x}{-11}[/tex] : Isolating the variable

13 = x : Simplification  (Note: when you divide a negative number by a negative number, the answer is positive)

Answer: x=13

Hope this helps!!!

Find the measure of each missing angle.

Answers

Answer:

m< 3 = 180 - 93

m< 3 = 87 degrees

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

m< 2 is vertically opposite to the 49 degree angle given

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

The measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

What are vertically opposite angles?

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

We can determine angle 3 as;

m< 3 = 180 - 93

m< 3 = 87 degrees

Also,

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

We can see that m< 2 is equal to 49-degree angle by a vertically opposite angle.

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

Hence, the measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

Learn more about vertically opposite angles;

https://brainly.com/question/18045519

#SPJ2

Can you please tell me what the answer is

Answers

Answer:

52.5

Step-by-step explanation:

WX curve is 105 degrees

so to find WYX, you need to divide the WX curve by 2:

105 / 2 = 52.5 degrees

I think this is right, I have not done this in years so I am rusty at this

There are three consecutive integers, such that six times the first, minus two times the second, equals the third integer plus five. What is the first integer described? Will give Brainliest!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

Given that:

Integers : x, x + 1, x + 2

6x - 2(x + 1) = (x+2) + 5

6x - 2x - 2 = x + 2 + 5

4x - 2 = x + 7

4x - x = 7 + 2

3x = 9

x = 9/3

x = 3

First integer = x = 3

2nd integer = x + 1 = 3+1 = 4

3rd Integer = x + 1 + 1 = 3 + 2 = 5

Triangle T is translated to Triangle T What is the translation from T to T'? у T T A 3 units left B 3 units right c5 units left 05 PLEASEEEE HELP ME OUT​

Answers

Answer:

5 units to the right!

It would take 3 unites to the right to get the 0 and then 2 more units to the right to get to 2, so that means 5 units in total to the right.

given the function f(x)=x^2+5,evaluate f(-10)

Answers

Answer:105

Step-by-step explanation:

Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much (in cents) will 14 inches of wire cost?

Answers

Answer:

[tex]56[/tex] cents

Step-by-step explanation:

If [tex]18[/tex] inches of wire cost [tex]72[/tex] cents, then each inch of wire will cost [tex]\frac{72}{18}=4[/tex] cents. Therefore, 14 inches of wire will cost [tex]14*4=56[/tex] cents. Hope this helps!

Answer:

56 cents

Step-by-step explanation: 72 cents divided by 18= 4 so for one inch of wire it cost 4 cents       Then 14 inches times 4= 56  I think thats

the answer

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