Question

Find the slope of the line through P and Q.

$P\left(-1,2\right)$and $Q\left(0,0\right)$.

Short answer

The slope of the line through P and Q is -2.

Step-by-step solution

Step 1. Apply the slope formula.

The slope of the line is$m=\frac{y_2-y_1}{x_2-x_1}$,Where$\left(x_1,y_1\right),\left(x_2,y_2\right)$ are coordinates of points lie on the line.

Step 2. Substitute the values in the slope formula.

$$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \left(x_1,y_1\right):\left(-1,2\right) \\ \left(x_2,y_2\right):\left(0,0\right) \\ m=\frac{0-2}{0-(-1)} \end{gathered}$$

Step 3. Calculate the slope.

$\begin{array}{l}m=\frac{-2}{0+1}\\ m=\frac{-2}{1}\\ m=-2\end{array}$

Hence, the solution of the line is $-2$.