Write the slope-intercept form of the equation of the line passing through the point (-3, 1) and parallel to the line. y=3x-3

Question

PLEASE HELP

Answer 1

Hi Tiara,

 

           Write the slope-intercept form of the equation of the line passing through the point (-3, 1) and parallel to the line. y=3x-3

 

Parallel lines have the same slope and different y-intercepts.

 

So, the slope of the line will be m=3

Now use slope intercept form and substitute in the given point (-3,1).

 

                                           y=mx+b

                                           1=3(-3)+b

Solve for b:                           1=-9+b

                                           10=b

 

ANSWER:  y=3x+10

 

Hope this helps you with the process.