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=(y_2-y_1)/(x_2-x_1)`

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

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

Hence, the slope of the line is 3.