Question

Write an equation in slope-intercept form of a line that passes through (-1,3) and (-4,5)

Answer 1

`(y_2 - y_1)/(x_2 - x_1) = (5 - 3)/(-4 - (-1)) = (2)/(-4 + 1) = (2)/(-3) = -(2)/(3) \\\\y - y_1 = m(x - x_1) \\y - 3 = -(2)/(3)(x - (-1)) \\y - 3 = -(2)/(3)(x + 1) \\y - 3 = -(2)/(3)(x) - (2)/(3)(1) \\y - 3 = -(2)/(3)x - (2)/(3) \\y = -(2)/(3)x + 2(1)/(3)`