Question

Find the equation, in standard form, of the line passing through the points (3,-4) and (5,1)

Answer 1

`m = (y_(2) - y_(1))/(x_(2) - x_(1)) = (1 - (-4))/(5 - 3) = (1 + 4)/(2) = (5)/(2) = 2(1)/(2) \\\\y - y_(1) = m(x - x_(1)) \\y - (-4) = 2(1)/(2)(x - 3) \\y + 4 = 2(1)/(2)(x) - 2(1)/(2)(3) \\y + 4 = 2(1)/(2)x - 7(1)/(2) \\y = 2(1)/(2)x - 11(1)/(2)`