Question

A of values of a linear function is shown below.

Answer 1

The slope of a linear function is given by the formula:

`m=(y2-y1)/(x2-x1)`

Where m is the slope, (x1,y1) and (x2,y2) are two points on the line. We can find these values in the given table.

By replacing (-1,-2) and (0,-3) we can find the slope:

`m=(-3-(-2))/(0-(-1))=(-3+2)/(0+1)=-(1)/(1)=-1`

The slope is -1.

The y-intercept is the y-value at x=0.

In the table we can see when x=0, y=-3

The y-intercept is -3.

The slope-intercept equation of a line is given by:

`y=mx+b`

Where m is the slope and b is the y-intercept. If we substitute these values we have:

`\begin{gathered} y=-1x-3 \\ \\ equation \\ y=-x-3 \end{gathered}`