The slope is 1/4 and the y-intercept is (0,3)
Here, we want to get the slope and the y-intercept of the linear function that contains the given points
We start by getting the slope
The slope m can be obtained by using the slope formula
We have this as follows;
[tex]\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ \\ (x_1,y_1)\text{ = (-8,1)} \\ (x_2,y_2)\text{ = (0,3)} \\ \\ By\text{ substituting;} \\ \\ m\text{ = }\frac{3-1}{0-(-8)}\text{ = }\frac{2}{8}\text{ = }\frac{1}{4} \end{gathered}[/tex]
When we talk about the y-intercept, we mean the y-value when the x-value is 0
Looking at the given table, we can see that when the value of x is 0, the y-value is 3
Hence, we have the y-intercept as 3
