Doug C. answered • 08/02/18

Math Tutor with Reputation to make difficult concepts understandable

Hi Ariana,

If you solve the first equation for y, you will have slope-intercept form (y=6x+1). That means the slope of the given line is 6. Parallel lines have the same slope. Use point-slope form to write the equation of the parallel line.

y - (-11) = 6 (x-3)

See the following graph to get the picture:

https://www.desmos.com/calculator/xqbsok1k9r

The parallel line equation can be placed in slope-intercept form if you want.

Ariana B.

08/02/18