We are given a line that passes through the points (3,0) and (0,-2) (from the graph) from that information we can find the slope of the line using the following formula:
[tex]m=\frac{y_{2\text{ }}-y_1}{x_{2\text{ }}-x_1}[/tex]where
[tex]\begin{gathered} (x_1,y_1);\text{ } \\ (x_2,y_2) \end{gathered}[/tex]Are the points through which the line passes. Replacing
[tex]m=\frac{-2-0}{0-3}=\frac{2}{3}[/tex]Since the intercept is the point of the line when x = 0, and the line passes through (0,-2), the intercept is -2.
The slope is 2/3 and the intercept -2