Question

Which of the following is an equation of the line that passes through the point (2, -3) and is parallel to the line 4x - 5y = 1?

Answer 1

4x - 5y = 23

Explanation:

A quick way to do this is to rewrite the given equation as 4x - 5y = C and then plug in x = 2 and y = -3 to find the value of C:

4(2) - 5(-3) = C, or

8 + 15 = C. Thus, C = 23, and the desired equation is

4x - 5y = 23 which is parallel to 4x - 5y = 1 because the coefficients of x in the two equations and the coefficients of y in the two equations are the same.