Question

Choose the slope-intercept equation of the line that passes through the point (6, 4) and is parallel to y = x - 3.

Answer 1

You are given a Point and a hint for the Slope. This suggests very strongly that we should start with the Point-Slope form.

State It: (y-y0) = m(x-x0)

We have the point (6,4)

Substitute: (y-4) = m(x-6)

We are almost given the slope. It's a little coded. "parallel to y = x - 3." Well, okay, the slope of that line is "1". Do you see that from y = mx+b?

Substitute: (y-4) = (1)(x-6)

That's it, really, excepting that we are commanded to put it in Slope-Intercept form. Can you do that?