In the following activity, match each pair of equivalent expressions. 1. 3(x + 5) -3x + 6 + 4x 2. (x + 14) - (8 - 2x) -7 + 6x - 4x + 3 3. (7 + 5x) + (-4x - 1) 9x - 2(3x - 3) 4. -4(x + 1) + 5x -2x + 9 + 5x + 6 5. 2(x - 2) (7 - 2x) + (3x - 11)

1. 3(x + 5), matches -2x + 9 + 5x + 62. (x + 14) - (8 - 2x), matches 9x - 2(3x - 3)3. (7 + 5x) + (-4x - 1), matches -3x + 6 + 4x4. -4(x + 1) + 5x, matches (7 - 2x) + (3x - 11)5. 2(x - 2), matches -7 + 6x - 4x + 3

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