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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).

Respuesta :

Answer:

2x - 3y = 19

Step-by-step 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 = [tex]\frac{2}{3}[/tex](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

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