Find an equation of the line through (2,7) and parallel to y=4x+8.

Question

Find an equation of the line through

(2,7)

and parallel to

y=4x+8.  

Answer 1

If lines are parallel, then they have the same slope, so the line that we are looking for has slope 4, so the equation is y=4x+b so far. In order to find b, we have to plug the point (x,y) = (2,7) into our equation, so we have the following: 7=4(2)+b=8+b, so b=-1, so the one and only equation is y=4x-1.