The slope of a linear function is given by the formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
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:
[tex]m=\frac{-3-(-2)}{0-(-1)}=\frac{-3+2}{0+1}=-\frac{1}{1}=-1[/tex]
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:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept. If we substitute these values we have:
[tex]\begin{gathered} y=-1x-3 \\ \\ equation \\ y=-x-3 \end{gathered}[/tex]
