Answer:
Assuming the format is ay+bx+c=0
5y-2x-23=0
Explanation:
Equation 1: 5y - 2x + 6 = 0
Rearrange to form y=mx+c
5y = 2x - 6
By dividing by 5 we get
y = 0.4x - 1.2
Because the lines are parallel they share the same gradient.
Equation 2: 5y - 2x + c = 0
If we know that the line passes through x-coordinate (-4), and y-coordinate (3), we can substitute them in.
5(3) - 2(-4) + c = 0
Expanding Brackets
15+8+c=0 (Remember double negative = positive)
Rearranging this we get c = -23
Then we sub this back in to Equation 2 and we get 5y - 2x - 23 = 0.
Hope this helps!