Question

Find the slope of the line that passes through (10,4) and (7,9)

Answer 1

I will take you the steps to obtain the slopes passing two points

step 1 : list the parameters

$\begin{gathered} \text{from (10, 4)} \\ x_1=10,y_1=\text{ 4} \\ \text{from (7,9)} \\ x_2_{}=7,y_2=\text{ 9} \end{gathered}$

step 2: Apply the equation to obtain the slope between two points

$\begin{gathered} \text{slope = }\frac{rise}{fall}=\frac{y_2-y_1}{x_2-x_1} \\ \\ \Rightarrow\frac{9\text{ - 4}}{7\text{ - 10}}\text{ =}\frac{5}{-3} \\ \\ slope=-\frac{5}{3} \end{gathered}$