Question

Which equation represents a line that passes through the point (−2, 6) and is parallel to the line whose equation is 3x − 4y = 6? 1. 3x + 4y = 18 2. 4x + 3y = 10 3. −3x + 4y = 30 4. −4x + 3y = 26?

Answer 1

Method 1:  Realize that the desired equation will look exactly the same as the given equation 3x − 4y = 6, except that the constant will be different.

Thus, the equation of the new line is   3(-2) − 4(6) = C, where C comes out to 30.

Then the new line is 3x - 4y = 30.