Question

Find the slope of the line that passes through the two given points. (−5,4) and (1,6)

Answer 1

slope is 1/3

Step-by-step explanation:
`\text{The given points: (-5,4) and (1, 6)}`

We apply the slope formula:

`slope=m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=-5,y_1=4,x_2=1,y_2\text{ = }6 \\ m\text{ = }\frac{6\text{ - 4}}{1\text{ - (-5)}} \\ m\text{ }=\text{ }(2)/(1+5) \\ \end{gathered}`
`\begin{gathered} m\text{ = 2/6} \\ m\text{ = 1/3} \\ \\ \text{Hence, slope is 1/3} \end{gathered}`