Equations of Lines: Point - Slope and Standard Form

Question

A line passes through the point (4,-9) and has a slope of 5/4. Write an equation in point - slope form for this line.

Answer 1

Point-slope form is: y - y₁ = m(x - x₁) where "m" is the slope, and the point the line goes through is (x₁, y₁). So the equation of the line with a slope of 5/4 that goes through (4, -9) would be y - (-9) = (5/4)(x - 4) or y + 9 = 5/4(x - 4)