Question

Find the equation of the line that passes through (2, 5) and is parallel to the line for 3x + 3y - 4 = 0. X + Y - 7 = 0 2X + 5 Y = 0 X + 2Y -7 = 0 2X + Y - 7 = 0

Answer 1

x + y - 7 = 0

Explanation:

Parallel lines have the same slope. Find the slope by converting 3x + 3y - 4 = 0 into y=mx+b form.

3x + 3y - 4 = 0

3x + 3y = 4

3y = -3x + 4

y = -x + 4/3

The slope here is -1. Substitute -1 and the point (2,5) into the slope form to find the equation. Simplify the form.

y - 5 = -1 (x-2)

y - 5 = -x + 2

x + y - 5 = 2

x + y - 7 = 0