Question

what is the y - intercept?

Explanation:

Step1: Identify y-intercept definition

The y-intercept is the point where the line crosses the y-axis, i.e., where $x=0$.

Step2: Locate intersection on graph

From the graph, the line crosses the y-axis at $y=1$? No, correction: Re-examining, the line crosses y-axis at $y=1$? Wait no, looking at the line: when $x=0$, $y=1$? No, wait the line goes through (0,1)? No, wait the options are -1,3,-2,-3. Wait, no, let's calculate slope first. Take two points: (-3, -2) and (0,1)? No, no, wait the line crosses x-axis at (-3,0). Wait, when x=0, y=1? No, that's not an option. Wait, no, maybe I misread. Wait, the line: when x=0, y=1 is not an option. Wait, no, let's use slope-intercept form $y=mx+b$, where $b$ is y-intercept. Take point (-3,0): $0 = m(-3) + b$. Take another point, say (0,1): no, not an option. Wait, no, maybe the line goes through (3,1) and (0,-1)? Wait, if x=0, y=-1, which is an option. Let's check: slope $m=\frac{1 - (-1)}{3-0}=\frac{2}{3}$. Then equation $y=\frac{2}{3}x -1$. When x=-3, $y=\frac{2}{3}(-3)-1=-2-1=-3$? No, the line crosses x-axis at (-3,0)? Wait no, the graph shows the line crossing x-axis at (-3,0). So $0 = m(-3)+b$. If b=-1, then $0=-3m -1$ → $m=-\frac{1}{3}$. Then $y=-\frac{1}{3}x -1$. When x=3, $y=-\frac{1}{3}(3)-1=-1-1=-2$. Does the line go through (3,-2)? Yes, that matches. And the y-intercept is $b=-1$.

Answer:

-1