## 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 $P(4,2)$, $Q(-3,2)$, $R(2,5)$ The slope between $P(4,2)$ and $Q(-3,2)$ is: $m=\frac{2-2}{-3-4}=\frac{0}{-7}=0$ The slope between $Q(-3,2)$ and $R(2,5)$ is: $m=\frac{5-2}{2-(-3)}=\frac{3}{5}$ Both slopes are different, so the points do not lie on the same line.