Question

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).

Answer 1

The answer is 2x + -3y = 19

Answer 2

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