Algebra 1

To find if all the points lie on the same line, the slope between each pair of points must be the same. Use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ The points are $S(-3,4),T(0,2),X(-3,0)$ The slope between $S(-3,4)$ and $T(0,2)$ is: $m=\frac{2-4}{0-(-3)}=$$\frac{-2}{3}$ The slope between $T(0,2)$ and $X(-3,0)$ is: $m=\frac{0-2}{-3-0}$=$\frac{-2}{-3}$=$\frac{2}{3}$ The two slopes are different, so the points do not lie on the same line.