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Use the given conditions to write an equation for the line in​ point-slope form and general form.
Passing through left parenthesis negative 5 comma 5 right parenthesis(−5,5) and parallel to the line whose equation is 6 x minus 5 y minus 9 equals 0

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joseaaronlara

Answer:

The answer to your question is below

Step-by-step explanation:

Data

P (-5, 5)

Parallel to 6x - 5y - 9 = 0

Process

1.- Find the equation of the line

                  6x - 5y = 9

                       -5y = -6x + 9

                          y = -6/-5 x + 9/-5

                          y = 6/5 x - 9/5

slope = 6/5, as the lines are parallels, the slope is the same.

2.- Get the equation of the new line

                     y - y1 = m(x - x1)

                     y - 5 = 6/5 (x + 5)

                     y - 5 = 6/5x + 6

                          y = 6/5x + 6 + 5

                          y = 6/5x + 11                     Point-slope form

                   5y - 25 = 6(x + 5)

                   5y - 25 = 6x + 30

                   6x - 5y + 30 + 25 = 0

                  6x - 5y + 55 = 0                      General form

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