Parallel lines have the same slope. To write the equation of a parallel line, first find the slope (m) of the original line by rewriting its equation in y=mx+b form. Then use the same m value and a new given point (x,y) to write the parallel line's equation in y=mx+b form by solving for b. For example, to find the equation of a line parallel to 2x-3y=17 through the point (9, -3), first get the original line in y=mx+b form to find m, then use m and (9, -3) to write the parallel line's equation.
2. PARALLEL LINES
Parallel lines have the same slope
To find the slope, put the equation in y=mx+b
Use m and the new given point to write a new equation
3. EXAMPLE
Write the equation of a line parallel to 2x-3y=17 and goes through the point (9, -3).
Hint: Get the equation in y=mx+b. Plug m and (9, -3) in y=mx+b. Find b.
5. IF IT IS PERPENDICULAR
If the question wants the perpendicular line, find the slope, flip it and change the
sign. Then do exactly what we did with the parallel equation.
