Question

E Y2-yi X2-X1 Find the slope of the line that passes through these two points. Simplify completely. (2, -3) (5,6) m = [?] Enter

Answer 1

Given:

Two given points are,

$\begin{gathered} (x_1,y_1)=(2,-3) \\ (x_2,y_2_{})=(5,6) \end{gathered}$

THe objective is to find the value of slope, (m).

The formula to find the slope is,

$m=\frac{y_2-y_1}{x_2-x_1}$

Now, substitute the given values in the above slope formula.

$\begin{gathered} m=\frac{6-(-3)}{5-2} \\ m=\frac{6+3}{5-2} \\ m=\frac{9}{3} \\ m=3 \end{gathered}$

Hence, the slope of the line is 3.