We have to find the slope and the y-intercept of the linear function shown.
For doing so, we will take two points that pass through the line and we will use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1_{}_{}}[/tex]
for finding the slope. In this case, two of those points could be:
[tex]\begin{gathered} (4,0) \\ (0,3) \end{gathered}[/tex]
Using them, and replacing onto the slope formula we get:
[tex]m=\frac{0-3}{4-0}=-\frac{3}{4}[/tex]
This is, the slope is - 3/4.
For the y-intercept, we see that the function passes through the point:
[tex](0,3)[/tex]
and then, when x=0, y=3. This means that the y-intercept is 3.
