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 = }(rise)/(fall)=(y_2-y_1)/(x_2-x_1) \\ \\ \Rightarrow\frac{9\text{ - 4}}{7\text{ - 10}}\text{ =}(5)/(-3) \\ \\ slope=-(5)/(3) \end{gathered}`