Answer:
[tex]y = \frac{2}{3}x - \frac{43}{3}\[/tex]
Step-by-step explanation:
As slope intercept form is y = mx + c:
Step 1 - Add 3y to both sides of the equation:
[tex]2x - 3y = 43\\2x - 3y + 3y = 43 + 3y\\2x = 43 + 3y[/tex]
Step 2 - Subtract 43 from both sides of the equation:
[tex]2x = 43 + 3y\\43 + 3y = 2x\\43 + 3y - 43 = 2x - 43\\3y = 2x - 43\\[/tex]
Step 3 - Divide both sides of the equation by 3:
[tex]\frac{3y}{3} = \frac{2x}{3} - \frac{43}{3}\\y = \frac{2}{3}x - \frac{43}{3}\\[/tex]
Meaning the slope intercept form is:
[tex]y = \frac{2}{3}x - \frac{43}{3}\[/tex]
Hope this helps!
