Hello I have a question about this homework assignment. the question is "what are the slope and the y-intercept of the linear function that is represented by the graph?&quo…

Question

hello I have a question about this homework assignment. the question is "what are the slope and the y-intercept of the linear function that is represented by the graph?"

Answer 1

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:

`m=\frac{y_2-y_1}{x_2-x_1_{}_{}}`

for finding the slope. In this case, two of those points could be:

`\begin{gathered} (4,0) \\ (0,3) \end{gathered}`

Using them, and replacing onto the slope formula we get:

`m=(0-3)/(4-0)=-(3)/(4)`

This is, the slope is - 3/4.

For the y-intercept, we see that the function passes through the point:

`(0,3)`

and then, when x=0, y=3. This means that the y-intercept is 3.