40. Find the equation of the line parallel to the line whose equation is y = 6x + 7 and whose y-intercept is 8.

Answer 1

y = 6x + 8

parallel lines have the same slope. the slope is the coefficient of the x term when the equation is solved for y, so slope = 6

the y intercept is the constant term when the equation is solved for y

general form of the equation is y=mx + b. where m= slope and b= the y intercept

if m= 6 and b = 8

then the equation of the parallel line is y=6x + 8

the parallel line is the original line shifted up by 1 unit