Answer: y=-4x+5
Explanation:
First, put the given equation into point-slope form.
2y+8x=4
2y=-8x+4
y=-4x+2
Now to get the slope of a line parallel to this, we keep the same constant before x (-4)
y=-4x
Since this follows the point-slope form y=mx+b, we just need to find the value of b so that the line passes through (2,-3).
Since we are given those x and y values, we can plug those numbers into y=mx+b
y=-4x+b
-3=-4(2)+b
-3=-8+b
5=b
This is the value of b, which we can plug back into our equation
y=-4x+b
y=-4x+5
