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

2x - 3y = 19

Explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers

Given

y + 1 =
`(2)/(3)`(x - 8)

Multiply all terms on both sides by 3 to eliminate the fraction

3y + 3 = 2(x - 8)

3y + 3 = 2x - 16 ( subtract 3y from both sides )

3 = 2x - 3y - 16 ( add 16 to both sides )

19 = 2x - 3y, that is

2x - 3y = 19 ← in standard form