Equation of the Line
Lesson
I
After going through this lesson, you are expected to find the equation of a
line given (a) two points, (b) the slope and a point and (c) the slope and its
intercepts
From the given linear equation, we can determine 2 points that will satis-
fy the equation. Also we can determine the slope and the y- intercept so as the
x and y intercepts.
Example: Given - 2x + y = 6
Find: a. two points that will satisfy the equation
(b) slope and y-intercept
(c) x and y intercept
Solution:
(a) -2x + y = 6
If x = -1
If y = 2
-21-1) + y = 6
- 2x + 2 = 6
2 + y = 6- y = 4
-2x = 4-x= -2
The point is (-1,4)
The point is (-2, 2)
(b) Change the equation to slope intercept form : y = 2x + 6
Therefore the slope m = 2 and the y-intercept b = 6
(c) Find the and y intercept of -2x + y = 6
Let x = 0, -2(0) + y = 6; y = 6. the intercept is (0,6)
Let y = 0, -2x + 0 = 6; -2x = 6, X = -3, the y intercept is (-3,0)
Learning Task 1 : From the given equation of the line a) find two points that will
satisfy the equation, b) the slope and the y intercepts and c) the x and y-
intercepts.
2.
3y - X9
1. 3x + 2y = 5​

Answer:

B

1

N

4

5

5

(4x+6)

(5x -5)

7

00

0

A

С

(3x + 8)

The value of x is

and the length of the base isB

1

N

4

5

5

(4x+6)

(5x -5)

7

00

0

A

С

(3x + 8)

The value of x is

and the length of the base isB

1

N

4

5

5

(4x+6)

(5x -5)

7

00

0

A

С

(3x + 8)

The value of x is

and the length of the base isB

1

N

4

5

5

(4x+6)

(5x -5)

7

00

0

A

С

(3x + 8)

The value of x is

and the length of the base isB

1

N

4

5

5

(4x+6)

(5x -5)

7

00

0

A

С

(3x + 8)

The value of x is

and the length of the base isB

1

N

4

5

5

(4x+6)

(5x -5)

7

00

0

A

С

(3x + 8)

The value of x is

and the length of the base isB

1

N

4

5

5

(4x+6)

(5x -5)

7

00

0

A

С

(3x + 8)

The value of x is

and the length of the base is

Answer:

40

Step-by-step explanation:

-50 + 90 = 40

Answer:

3 I did the test to btw

Step-by-step explanation:

did the test

Answer:

4 and 5

Step-by-step explanation:

xy = 20

x + y = 9 ⇒ x = 9 - y

y(9 - y) = 20

9y - y² = 20

y² - 9y + 20 = 0

D = ( - 9)² - 4(1)(20) = 81 - 80 = 1

[tex]y_{1}[/tex] = (9 + 1) ÷ 2 = 5

[tex]y_{2}[/tex] = (9 - 1) ÷ 2 = 4

The numbers are 4 and 5

Answer:

a

Step-by-step explanation:

Answer:

Y=6X-32

Step-by-step explanation:

Answer:

y-y1=m(x-x1)

y-6=-2(x-(-1))

y-6=-2(x+1)

y-6=-2x-2

y=-2x+4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

the value of y would be -14

Answer:     HOPE THIS HELPS GOD BLESS  PLEASE TOUCH THANKS

C.8

Answer:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

Step-by-step explanation:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

because x should not be the same in more than one pair

Answer:

8

Step-by-step explanation:

62 divided by 8 is 7.75

you can't cut people so round it up and you get 8

Answer:

2nd option.............................................

Answer:

18.4

Step-by-step explanation:

Answer:

It is not a function because the output of 9 repeats.

(1,9) (4,9)

:D

Answer:

3

Step-by-step explanation:

The difference between the y coordinates is 6.

The difference between the x coordinates is 2

The slope is rise over run so in this case, the rise is 6 and the run is 2.

This makes our slope:

6/2

This can be simplified to 3/1 so the slope is 3.

Answer: 37/3

Step-by-step explanation:

12 1/3 = 12*3+1/3 = 37/3

Answer:

[tex]\frac{37}{3}[/tex]

Step-by-step explanation:

[tex]12\frac{1}{3}[/tex]

When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:

[tex]12*3=36[/tex]

Then, add the numerator the the product:

[tex]36+1=37[/tex]

Now, put the sum over the denominator to get your solution:

[tex]\frac{37}{3}[/tex]

-

To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with [tex]12\frac{1}{3}[/tex].

Divide [tex]37[/tex] into [tex]3[/tex]:

[tex]12[/tex] with a remainder of [tex]1[/tex]

Put the remainder over the denominator:

[tex]12\frac{1}{3}[/tex]

Therefore, our solution is correct!

Answer:

69

no

U will not get answers on a test noob

Answer:

Step-by-step explanation:

domain includes alll values of x so are from -1 to 2 except 0

[-1, 0) ∪ (0, 2]

Answer:

Step-by-step explanation:

[tex]V=\frac13\cdot A_b\cdot H[/tex]

[tex]A_b[/tex]  - Base Area

H - Height of the pyramid

Base is regular triangle:  [tex]A_b=\dfrac{8^2\sqrt3}4[/tex]

The volume:

                    [tex]V=\dfrac13\times \dfrac{8^2\sqrt3}4\times 12=64\sqrt3\approx110.9[/tex]

Answer: -30

Step-by-step explanation:

-30 bc it has the same functions.

Answer:

points -3,0,4 on a graph

Step-by-step explanation:

correct on edmentum or plato

Answer:

8 full servings

Step-by-step explanation:

1/2 cup of mix left

Answer: it’s a linear function

Step-by-step explanation:

18x-2y=26 as -2y= -18x + 26 by adding 18x to both sides, and then y=9x - 13 by dividing both sides by -2. So, it represents a linear function

Answer:

It's linear

Step-by-step explanation:

18x-2y=26

Because it has two variables x and y

Answer:

y=3x=11 .

Step-by-step explanation:

Because this y=mx+b converted in Intercept form is the answer i already gave you :).

Answer:

Reagan

Explanation:

Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.

Hope this helps :)

Answer:

Part A

The factored form of the expression, 6·x² - 13·x + 6 is (2·x - 3) × (3·x - 2)

Part B

The solution of the equation 6·x² - 13·x + 6 = 0 are x = 3/2 or x = 2/3

Step-by-step explanation:

Part A

The given expression to factorize is 6·x² - 13·x + 6, which can be written as follows;

6·x² - 13·x + 6 = 6·x² - 4·x - 9·x + 6

The 13·x is split at - 4·x - 9·x

6·x² - 4·x - 9·x + 6

2·x·(3·x -2) - 3·(3·x - 2)

Bringing out the common factor (3·x - 2) gives;

(2·x - 3) × (3·x - 2)

Therefore, the expression 6·x² - 13·x + 6 in factored form is (2·x - 3) × (3·x - 2)

Part B

Solving the equation, 6·x² - 13·x + 6 = 0, therefore gives;

6·x² - 13·x + 6 = (2·x - 3) × (3·x - 2) = 0

Therefore, either (2·x - 3) = 0 and x = 3/2 or (3·x - 2) = 0 and x = 2/3

From which we have 6·x² - 13·x + 6 = 0 when x = 3/2 or 2/3 and x = 3/2 or x = 2/3 are the solution of the equation 6·x² - 13·x + 6 = 0.

Answer:

$27,272.73= sales

Step-by-step explanation:

Giving the following information:

Desired commission= $900

Commission rate= 3.3% = 0.033 of sales

To calculate the sales required, we need to use the following formula:

Commission= sales*commission rate

900= sales*0.033

900/0.033= sales

$27,272.73= sales

Answer: $27,273

Step-by-step explanation:   900a=3.3100                 Write the proportion. Let a represent the amount he needs to sell.

    900a=3.3100                 Because  3.3×272.72=900 , multiply 100 by  272.72  to find a.

90027.271=3.3100                100 ×  272.72  ≈ 27,273,  so a = 27,273.

Chase needs to sell $27,273 to earn $900 in commission.