Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{2}{3}[/tex] , then
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (3, - 4) into the partial equation
- 4 = 2 + c ⇒ c = - 4 - 2 = - 6
y = [tex]\frac{2}{3}[/tex] x - 6 ← in slope- intercept form
Multiply through by 3 to clear the fraction
3y = 2x - 18 ( subtract 2x from both sides )
- 2x + 3y = - 18 ( multiply through by - 1 )
2x - 3y = 18 ← in standard form → D
