Question

which equation is parallel to the graph of the equation 4x+y=-2 and passes through the point (5,3)?

Answer 1

put the equation into slope intercept form

y=-4x-2
the slope is -4

the equatio of the new line is
y=-4x+b
Put x,y of the point into this and solve for b, and then you have then new line.

Answer 2

Here is another very easy way:

Your new equation will only differ in the constant, so it must be 4x+y=c
put in (5,3), 20+3=c

so your equation is 4x+y=23