Question

Find the equation that Passes through the point (2,3) and is parallel to the line y=5x-9. First find the equation of the line in point-slope form and then convert to slope intercept form.

Answer 1

since It's parallel to y=5x-9 the slope of this new line is 5
so the equation looks like y=5x+b
to find be we just replace x by 2 and y by 3
3=10-b so b = -7
the equation is y=5x-7