The line passes through (5, -3) and is parallel to the line where equation is y = 4x + 2 / type the slope intercept form of the equation of the line

Question

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Answer 1

The given line is already expressed in slope-intercept form (y=mx + b, where m=slope and b is the y-intercept):

                        y = 4x +2

 

All parallel lines will have the same slope (that is, 4).  They have a different y-intercept (unless they are the same line), so we need the point (5,-3) to determine b.

            y = 4x + b

           -3 = 4(5) + b

           -23 = b

 

The parallel line has the equation:       y = 4x - 23

Answer 2

slope = 4

y=mx+b

-3=4(5)+b

-3=-20+b

-3-20=b

-23=b

y=4x-23