Final answer:
The point-slope equation of the line with slope -13 and passing through point (5, -7) is y - (-7) = -13(x - 5).
Step-by-step explanation:
To find the point-slope equation of a line, we can use the formula y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line. Given a slope of -13 and a point (5, -7), we can substitute these values into the formula to get the equation: y - (-7) = -13(x - 5).
Learn more about Point-slope equation of a line