Answer:
y = 4/5x + 6 1/5
Step-by-step explanation:
First, rearrange the equation to put it in the form y = mx + b. Once you put it in that form, m will be the slope and b will be the y-intercept (for example, if the equation is y = 3x - 1 then 3 is the slope and -1 is the y-intercept)
4x - 5y = 20
subtract 4x from both sides
-5y = -4x + 20
divide both sides by -5
y = 4/5 * x - 4
This means the slope of this line is 4/5
Parallel lines always have the same slope, so again you can put your new equation in the form y = mx + b and you have that the slope, or m, = 4/5 so this would be:
y = 4/5x + b
Now, you know that (-4, 3) is a solution so if you plug in x = -4 and y =3 the equation should be true:
3 = 4/5 * -4 + b
3 = -16/5 + b
6 1/5 or 6.2 = b
So the equation is y = 4/5x + 6 1/5 or y = 0.8x + 6.2
