What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6 ?

Explanation: Let's rewrite the equation into standard form.






Now that it's the form y = mx + b, we know that the gradient is

For a line to be parallel to another line, they must contain the same gradient. Now, the point (9, -3) passes through the line, meaning the points at x = 9 and y = -3 must satisfy our equation. Since we have a point and a gradient, we can use the point-gradient form.