Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 =2/3 (x – 8).
Ax + By = C is standard form. y + 1 = (2/3)(x - 8) distribute the (2/3) y + 1 = (2/3)x - (16/3) Multiply each term by 3 to clear the fractions. 3y + 3 = 2x - 16 Subtract 2x from both sides. -2x + 3y + 3 = - 16 Subtract 3 from both sides. -2x + 3y = - 19 Correct form typically has the leading coefficient as a positive number so multiply each term by - 1. 2x - 3y = 19
