Question

Write an equation of the line that is parallel to the equation 5x – 2y = 6, that passes through (4, -2).

Answer 1

Re-arrange for y=mx+b then look at the m value (the slope), re-write your equation with the new slope... which is 5/2 (when you re-arrange the equation). Then use
y=(5/2)x + b and sub in your ordered pair (x,y) which is (4, -2)and solve for b : ) Then re-write the equation with that b and the 5/2 slope.

Answer 2

5x-2y = 6.
m = -A/B = -5/-2 = 5/2 = Slope.

(4,-2)
Y = mx + b.
-2 = (5/2)4 + b,
b = -12.
Eq.: Y = (5/2)x - 12.

Answer 3

Thanks Dude!