Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
To find the slope of a line, use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point on the line.
So, this formula requires two points from the line. Reading the graph, we can see that the two points marked on the line are (-3,-4) and (3,0). Thus, use the x and y values of those two points, substitute them in the appropriate order into the formula, and solve:
[tex]\frac{(0)-(-4)}{(3)-(-3)} \\= \frac{0+4}{3+3} \\= \frac{4}{6} \\= \frac{2}{3}[/tex]
Therefore, the slope of the line is [tex]\frac{2}{3}[/tex].
