ogechi6511
ogechi6511 ogechi6511
  • 22-01-2021
  • Mathematics
contestada

What is the equation of the line that passes through the point (5, -2) and has a slope of 6/5

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jimthompson5910 jimthompson5910
  • 22-01-2021

Answer:  y = (6/5)x-8

Slope = 6/5 = 1.2

Y intercept = -8

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Work Shown:

m = 6/5 = 1.2 is the given slope

(x,y) = (5,-2) is the point the line goes through

y = mx+b .... slope intercept form

y = 1.2x + b .... plug in the given slope

-2 = 1.2*5 + b ... plug in the coordinates of the given point

-2 = 6 + b

-2-6 = 6+b-6 .... subtracting 6 from both sides

-8 = b

b = -8

The equation y = mx+b turns into y = 1.2x-8

This is equivalent to y = (6/5)x-8

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