Find the slope slope formula is (y₂ - y₁) = m(x₂ - x₁) plug the given coordinates y₂ = -3 y₁ = 3 x₂ = 2 x₁ = -1 (-3 - 3) = m(2 -(-1)) -6 = m(3) Divide by 3 [tex] \frac{-6}{3} = \frac{3m}{3} [/tex] 3 and 3 cancels out -2 = m
Now, we know the slope, the equation of a line is: y = mx + c So plug in any of the given coordinates with its slope to find c -3 = (-2)(2) + c -3 = -4 + c add 4 to either sides -3 = -4 + c +4 +4 1 = c so the equation of this line is y = -2x + 1 Answer is A. y = -2x + 1
