Question

Find the equation of the linear function represented by the table below in slope-intercept form.X1234y-3-7-11-15

Answer 1

The equation of the linear function represented in the table is y = -4x + 1.

Step-by-step explanation:

Since the values in the x-variable are consecutive, let's take a look at the y-values.

Let's determine the common difference of the y-values.

`\begin{gathered} -15-(-11)=-4 \\ -11-(-7)=-4 \\ -7-(-3)=-4 \end{gathered}`

As we can see, the common difference between the y-values is -4. Therefore, the slope of the equation is -4.

To determine the y-intercept, let's subtract -4 from -3 to determine the y-value at x = 0.

`-3-(-4)=1`

Hence, the y-intercept is 1.

Therefore, the equation is y = -4x + 1.