Question

What is the equation of the line that passes through the point (4, -8) and has
a slope of -3/4

Answer 1

Answer: y + 8 = -3/4(x - 4)

Step-by-step explanation:

Point slope form formula: Y – y1 = m (x – x1)

m = the slope

y1 equals the y of the point

x1 equals the x of the point

Plug in the numbers and you have your equation

Y – y1 = m (x – x1) -----> y - (-8) = -3/4(x - 4)

Simplify:

y - (-8) = -3/4(x - 4) ------> y + 8 = -3/4(x - 4)

Your final answer: y + 8 = -3/4(x - 4)

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If your answer requires slope intercept, here is your answer:

y = -3/4x - 5

Answer 2

y = (-3/4)x - 5

Step-by-step explanation:

m = (-3/4); (4, -8)

(x₁, y₁)

y - y₁ = m(x - x₁)

y - (-8) = (-3/4)(x - 4)

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

-8 -8

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y = (-3/4)x - 5

I hope this helps!