# Chapter P - P.2 - Linear Models and Rates of Change - Exercises - Page 17: 54

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

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