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What is the equation of the line that passes through the points (-8,8) and (4,-1)​

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5 votes
the person above me is correct !!
User Rodrigo Curbelo
by
8.8k points
3 votes

Answer:

y = (-3/4)x + 2

Explanation:

Find the slope of this line. Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9. Then the slope is

m = (change in y) / (change in x) = -9/12 = m = -3/4

Find the y-intercept from this data using the slope-intercept form:

y = mx + b becomes 8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.

Solving this equation for b, we get:

8 = 6 + b, so that b must be 2.

The desired equation is y = (-3/4)x + 2.

User Cduruk
by
7.8k points

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