Which is the equation of the line parallel to y=5x+7 with a y intercept of 3?

Question

A) y=3x+7

B) y=5x+3

Answer 1

It is good to learn the general rule (or expression) and then apply it to each problem.

 

In slope-intercept form, the equation of a line is:    y = mx + b

     where m is the slope and b is the y-intercept (value of y when x=0)

 

For this equation, the slope is 5.  Every parallel line will have a slope of 5 (otherwise they would intersect)

For this equation, the y-intercept is 7 (the y value when x=0)

 

The problem asks for the equation of a parallel line (so, slope = 5) with a y intercept of 3.

     It must be:    y = 5x + 3    (Answer B)