Find an equation of the line that goes through the points (2, -8) and(-1, 1). write your answer in slope-intercept form.

y = -3x - 2

Step-by-step explanation:

As we move to the right from (-1, 1) to (2, -8), x increases by 3 and y decreases by 9.  Hence, the slope of this line is m = rise / run = -9/3 = -3.

Start with the general slope-intercept form:  y = mx + b.

Substitute -8 for y, 2 for x and -3 for m:

-8 = -3(2) + b

So, b = -2, and the desired equation is y = -3x - 2. Note that (-1, 1) satisfies this equation.

56

step-by-step explanation:

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