Question

Determine the slope of the line joining the points $(3,-2)$ and $(4,5)$.

Answer 1

Slope of the line joining the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2-y_1}{x_2-x_1}$

The given points are $(x_1,y_1)=(3,-2)$ and $(x_2,y_2)=(4,5)$

Then, $m=\frac{5+2}{4-3}=\frac{7}{1}=7$

Hence, the slope is $7$.