Question

Find the equation of the linear function represented by the table below in slope-intercept form. XY-153-117-2711-43

Answer 1

First, we have to find the slope, using the following formula.

`m=(y_2-y_1)/(x_2-x_1)`

Let's use the points (-1,5) and (7, -27). Where,

`\begin{gathered} x_1=-1 \\ x_2=7 \\ y_1=5 \\ y_2=-27 \end{gathered}`

Then, we use these values to find the slope.

`m=(-27-5)/(7-(-1))=(-32)/(8)=-4`

Now we use the point-slope formula.

`\begin{gathered} y-y_1=m(x-x_1) \\ y-5=-4(x-(-1)) \\ y-5=-4(x+1) \\ y-5=-4x-4 \\ y=-4x-4+5_{} \\ y=-4x+1 \end{gathered}`

Therefore, the slope-intercept form is y = -4x+1.