please help!!! (if you can explain the answer that would be great too)


Answer:
Option A
Step-by-step explanation:
[tex]\sf Slope=\dfrac{Change \ in \ y}{Change \ in \ x}=\dfrac{rise}{run}[/tex]
We can find the equation of line, by comparing the slope of line segment AC and slope of AE.
Slope of AC = Slope of AE
[tex]\sf \dfrac{4}{3}=\dfrac{y +2}{x}[/tex]
Cross multiply
4*x = 3*(y +2)
4x = 3y + 3*2
4x = 3y + 6
Equation of the line in standard form:
4x - 3y - 6= 0