Question

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

Answer 1

The answer to your question is below

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