In order to find the slope and y-intercept of the line, first we can identify the point where the line intersects the y-axis, and that will be the y-intercept.
Looking at the graph, the line intersects the y-axis in the value y = -4, so the y-intercept is -4.
Now, to calculate the slope, we can identify two points on the line and use the following definition:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Then, using the points (0, -4) and (3, 1), we have:
[tex]m=\frac{1-(-4)_{}}{3-0}=\frac{5}{3}[/tex]
So the slope of the line is 5/3.
