Answer
3x -3y - 4 = 0
Work Step by Step
1. Find the slope of line from the given intercepts:
m = (0 + a)/(a - 0)
m = 1
2. find value of 'a' using slope intercept form:
y = mx +b
y = x -a
given point on line ($\frac{-2}{3}$, -2)
-2 = $\frac{-2}{3}$ - a
a = 4/3
3. Equation of line would be:
$\frac{x}{4/3}$ - $\frac{y}{4/3}$ = 1
3x - 3y = 4
3x - 3y - 4 = 0
