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