Question

identify the slope and y-intercept, given equation is x - 3y = 2.
select one:
a. slope : $-\frac{1}{3}$, y-intercept : $-\frac{2}{3}$
b. slope : $-\frac{1}{3}$, y-intercept : $\frac{2}{3}$
c. slope : $\frac{1}{3}$, y-intercept : $\frac{2}{3}$
d. slope : $\frac{1}{3}$, y-intercept : $-\frac{2}{3}$

Explanation:

Step1: Rearrange to slope-intercept form

Start with $x - 3y = 2$. Isolate $y$:
$-3y = -x + 2$

Step2: Solve for $y$

Divide all terms by $-3$:
$y = \frac{1}{3}x - \frac{2}{3}$

Step3: Identify slope and intercept

Compare to $y=mx+b$ where $m$=slope, $b$=y-intercept.

Answer:

D. Slope : $\frac{1}{3}$, $y$-intercept : $-\frac{2}{3}$