Answer: y + 7 = -5(x + 3)
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Work Shown:
m = -5 is the slope
(x1,y1) = (-3,-7) is the point the line goes through
Plug this into the point slope form below and simplify.
y - y1 = m(x - x1)
y - (-7) = -5(x - (-3))
y + 7 = -5(x + 3)
Side note: If we solved for y, we'd get y = -5x - 22 showing that -22 is the y intercept.