Answer:
y=-2.5x+9
Explanation:
hey there
Ok so first you need to rearrange the equation 5x+2y=12 into the form y=mx+c with m being the gradient as in a parallel line the gradients are the same.
1) 5x+2y=12
2y=-5x+12
y=-2.5x+6
Next, we know that the gradient is -2.5 so using the information from the coordinates (-2,4) we are going to incorporate everything we know so far into the equation y=mx+c in hope of finding the y intercept (c)
2) we know y=4, x=-2, and m=2.5 so I'm going to substitute it into y=mx+x:
4=(-2.5*2)+c
4=(-5)+c
c=4+5
c=-9
y=-2.5x+9
hope this helped :)