Convert the point slope equation y + 5 = - 3/4(x + 2) into standard form.

3x + 4y = - 26

Explanation:

1) the standard form is Ax + By = C

2) given: y + 5 = - (3 / 4) (x + 2)

3) multiply both sides by 4:

4y + 20 = - 3 (x + 2)

4) expand the parenthesis using distributive property:

4y + 20 = -3x - 6

5) transpose -3x and 20

4y + 3x = - 20 - 6

6) combine like terms

4y + 3x = - 26

7) rearrange:

3x + 4y = - 26

That is the standard form of the linear equation given.

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