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What is the slope intercept form if the points are -6,0 and -4,3

1 Answer

2 votes

Answer:

y = 3/2x + 9

Explanation:

slope intercept form: y = mx + b, in which:

m = slope

b = y-intercept

In this case, use the slope formula:

slope (m) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-4 , 3)

(x₂ , y₂) = (-6 , 0)

Plug in the corresponding numbers to the corresponding variables:

m = (0 - 3)/(-6 - (-4))

Simplify:

m = (0 - 3)/(-6 - (-4))

m = (-3)/(-6 + 4)

m = (-3)/(-2) = 3/2

Your slope is 3/2.

Plug in 3/2 for m. Solve for b by plugging in a point for x & y.

y = (3/2)x + b

Let: (x , y) = (-4 , 3)

(3) = (3/2)(-4) + b

Simplify. First, multiply, then divide. Isolate the variable, b.

3 = (3 * -4)/2 + b

3 = (-12)/2 + b

3 = -6 + b

3 (+6) = -6 (+6) + b

b = 3 + 6

b = 9

Your y-intercept is 9.

y = 3/2x + 9 is your answer.

~

User Yuriy Kulikov
by
8.3k points

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