greenemik greenemik
  • 21-10-2021
  • Mathematics
contestada

what is an equation of the line that passes through the points (3,-9) and (-12,-6)

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raine0000 raine0000
  • 21-10-2021
The equation is y = -1/5x + -42/5


The equation for slope is
y1 - y2
_________ = m
x1 - x2



-6 - -9 = 3
_________ = 3/-15 = -1/5
-12 - 3 = -15

m = -1/5

The equation for a line is y = mx + b.

m is -1/5
y = -1/5x + b

Plug in any point of the line into x and y.
-9 = -1/5(3) + b
-9 = -3/5 + b
-45/5 = -3/5 + b
-42/5 = b

y = -1/5x + -42/5
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