Question

(5,-2) and (-9,3 Determine the slope of the line that contains the two points given at the left so you want to support your answer?

Answer 1

The slope or gradient of a line is given by the formula

`\text{slope = }(rise)/(fall)=(y_2-y_1)/(x_2-x_1)`

From the two points given (5,-2) and (-9,3)

`\begin{gathered} x_1=5 \\ y_1=\text{ -2} \\ x_2=\text{ -9} \\ y_2=\text{ 3} \end{gathered}`
`\begin{gathered} \text{slope =}(y_2-y_1)/(x_2-x_1)=(3-(-2))/(-9-5) \\ \Rightarrow\frac{3\text{ +2}}{-9\text{ -5}}\text{ =}(5)/(-14) \\ \text{slope of the line = -}(5)/(14) \end{gathered}`