A line that is parallel would have the same slope, so you are looking at a slope of -7
Since we have the slope and a point which we want the equation to cross, just plug into the point-slope formula (conveniently named): [tex]y- y_{1}=m(x-x_{1}) [/tex]
[tex]y-32=-7(x-(-5))
y-32=-7(x+5)
y-32=-7x-35
y=-7x-3[/tex]