Answer:
[tex]y = -\frac{5}{2}x-1[/tex]
Step-by-step explanation:
5x + 2y = 12
2y = -5x + 12
[tex]y = -\frac{5}{2}x +6[/tex]
Parallel lines have the same slope so the -5/2 remains. Just remove the b value (6) and plug in (-2,4) to the x and y spots.
[tex](4) = -\frac{5}{2}(-2) + b[/tex]
4 = 5 + b
b = -1
The new equation is [tex]y = -\frac{5}{2}x-1[/tex]
