Question

Write the equation of a line that is parallel to the line 2X - Y = -2 and passes through the point (3, -4)

Answer 1

2x-y=10.

Explanation:

1) if the given line is 2x-y=-2, then the equation of the required parallel line has the form 2x-y=C, where C - unknown number should be calculated;

2) in order to calculate C, it is enough to substitute the given coordinates (3;-4) into the equation of the required parallel line:
2*3--4=C; ⇔ C=10.

3) finally, the required equation of the parallel line is

2x-y-10=0 or 2x-y=10.