cole1259 cole1259
  • 30-04-2019
  • Mathematics
contestada

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

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altavistard
altavistard altavistard
  • 05-05-2019

Answer:

y = -4x - 1

Step-by-step 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

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