Parallel lines have the same slope.
Change 5x + 4y - 20 = 0 to y=mx + b:
5x + 4y - 20 =0
4y = -5x + 20
4y/4 = -5x/4 + 20/4
y = -5x/4 + 5
m (slope) = -5/4
Use the slope -5/4 to find the other equation given the points (5,7).
m = -5/4 Point = (5,7)
Slope-Point Form:
[tex]y - y _{1} = m(x - x_{1} )[/tex]
y - 7 = -5/4 (x - 5)
y = -5x/4 + 25/4 + 7
LCD: 4
(4)y = (4) -5x/4 + (4) 25/4 + (4) 7
4y = -5x + 25 + 28
4y = -5x + 53
5x + 4y - 53 = 0
ANSWER: 5x + 4y - 53 = 0
