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.
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