Find the equation of a line that passes through (1,12) and is parallel to the graph of y=4x+4 . Write the equation in​ slope-intercept form, if possible.

Answer 1

parallel lines have the same slope = m = 4, the coefficient of the x term when the equation is solved for y

general equation is

y=4x + b, where b= the y intercept. To solve for b, plug in the point (1,12)

12 = 4 + b

b = 8

so

y=4x+8 is the line parallel to the given equation and going through the given point.