Question

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

Answer 1

Answer: 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.

Answer 2

$\bf y+5=-\cfrac{3}{4}(x+2)\implies y+5=-\cfrac{3}{4}x\left( -\cfrac{3}{4} \right)2\implies y+5=-\cfrac{3}{4}x-\cfrac{3}{2} \\\\\\ \cfrac{3}{4}x+y=-\cfrac{3}{2}-5\implies \stackrel{standard~form}{\cfrac{3}{4}x+y=-\cfrac{13}{2}}$