(-4,4)
5x+2y=-8
First, write the equation in slope-intercept form:
y=mx+b
Where:
m= slope
b= y-intercept
2y=-5x-8
y= (-5x-8)/2
y= -5/2x-4
m= -5/2
Parallel lines have the same slope.
So far we have:
y=-5/2x+b
Replace (x,t) by the given point and solve for b_:
4=-5/2(-4)+b
4 = 10+b
4-10 = b
b= -6
Equation:
y=-5/2x-6