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y = 5x - 27

Step-by-step explanation:

Given: point on a line  ( 5 , − 2 ) with slope,  m  = 5

There are different ways to find the line equation.

Using the slope intercept form: y=mx+b

y=5x+b

Plug in the point's x&y values and solve for the y-intercept (0,b)

−2=5(5)+b

−2=25+b

−2−25=b

−27=b

Line equation: y=5x−27

Using the point slope form: y−y1=m(x−x1)

Plug in the point's xy values into x1,y1y−−2=5(x−5)

Simplify and distribute:

y+2=5x−25

y=5x−25−2

y=5x27