Question

Find an equation for the line that passes through the point (-3, 6), parallel to the line through the points (0,-7) and (4,-15). Write your answer in point-slope form.

Answer 1

Broken down into steps:

1.  Find the slope of the line segment that connecs the points (0,-7) and (4,-15).

2.  Start with the point-slope formula for the equation of a straight line:

y-b = m(x-a), where the given point is (a,b).  Borrow the value of m that you calculated in (1), above, and insert it into this point-slope formula.
Finish up by subst. the x- and y-values in (-3,6) into this formula.

Done!

You could, of course, solve this result for y if you wished.