Question

A linear function contains the following points. X y -81 0 3 What are the slope and y-intercept of this function?

Answer 1

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;

`\begin{gathered} m\text{ = }(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{ = }(3-1)/(0-(-8))\text{ = }(2)/(8)\text{ = }(1)/(4) \end{gathered}`

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