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What is the equation of the line that passes through the points (3,-13) and (-2,7)

1 Answer

2 votes

Answer:

y = -4x - 1

Explanation:

As we move from the point (-2, 7) to the point (3, -13), x increases by 5 and y decreases by 20. Hence, the slope of this line is m = rise/run = -20/5, or -4.

Starting with the slope-intercept formula for a straight line:

y = mx + b. We substitute -4 for m, -13 for y and 3 for x:

-13 = (-4)(3) + b, so b = -1, and the desired equation is:

y = -4x - 1