ANSWER: slope = [tex]\frac{4}{3}[/tex] and y-intercept = -2
EXPLANATION:
1. The formula for the slope is:
[tex]m=\frac{y_2-y_1}{x_2 - x_1}[/tex]
2. Now you just need to pick two points on the graph that the line goes through. E.g. (-3, -6) and (6, 6). You then add it into to formula.
[tex]m = \frac{6-(-6)}{6-(-3)} =\frac{6+6}{6+3}=\frac{12}{9}[/tex]
3. Simplify by dividing the numerator and denominator by 3.
[tex]m=\frac{4}{3}[/tex]
4. The y-intercept is just where the line hits the y-axis (vertical line). By looking at the graph, we can see the line hits -2.
y-intercept = -2
