Find the slope intercept equation of the line with the following properties: Parallel to the line 5x+2y=1; containing points (-5,4)

1 answer

5x+2y=1

2 y = -5 x + 1

y = (-5/2) x + 1/2
so m, the slope = -5/2

y = (-5/2) x + b
4 = (-5/2)(-5) + b
8/2 = 25/2 + b
b = -17/2
so
y = (-5/2)x - 17/2
2 y + 5 x = -17