Question

Change equation into y=mx+b

2(x-3)+3y=0

Answer 1

If there’s something with my handwriting you don’t understand let me know… I was writing fast lol.

Answer 2

y = -⅔x + 2

Explanation:

Given the linear equation, 2(x-3) + 3y = 0, for which we must transform into its slope-intercept form, y = mx + b:

First, distribute 2 into the parenthesis:

2(x-3) + 3y = 0

2x - 6 + 3y = 0

Next, subtract both sides by 2x:

2x - 2x - 6 + 3y = - 2x

Then, add 6 to both sides of the equation:

- 6 + 6 + 3y = - 2x + 6

3y = -2x + 6

Lastly, divide both sides by 3 to isolate y:

`\displaystyle\mathsf{(3y)/(3)\:=\:(-2x\:+\:6)/(3)}`

y = - ⅔x + 2 ⇒ This is the slope-intercept form.