Question

Us the slope formula to find the line through the points p1 and P2P1=(1,-4)P2=(-5,7)

Answer 1

The formula of the slope of a line passing through 2 points is

$m=\frac{y_2-y_1}{x_2-x_{\square}}$

Where

$\begin{gathered} P_1=(x_1,y_1) \\ P_2=(x_2,y_2) \end{gathered}$

Since the given points are

$\begin{gathered} P_1=(1,-4) \\ P_2=(-5,7) \end{gathered}$

Then

$\begin{gathered} x_1=1,y_1=-4 \\ x_2=-5,y_2=7 \end{gathered}$

Substitute them in the formula of the slope above

$\begin{gathered} m=\frac{7-(-4)}{-5-1} \\ m=\frac{7+4}{-6} \\ m=\frac{11}{-6} \\ m=-\frac{11}{6} \end{gathered}$

The slope of the line is -11/6