Find the equation of the line that is parallel to y=2x-7 and passes through (5, -1).

Answer 1

Hi Nena,

The equation of the line y = 2x - 7 is written in slope- intercept form (y=mx + b).

The slope is represented by m and the y-intercept is represented by b.

Also, the slopes of parallel lines are the same.

In the given equation, the slope is 2.

As a result, we know the slope of the parallel line would be 2 as well.

Now we just need to substitute the coordinates of the point (5, -1) on your parallel line to find it's y-intercept:

y = 2x + b

-1 = 2 •5 + b

-1 = 10 + b

-1 -10 = 10 + b -10

-11 = b

The y-intercept of the parallel line will be -11

The equation of the parallel line will be:

y = 2x -11