Question

What is the slope of the line through (-2,-6) and (2, 2)? Choose 1 answer: (А. 1 2 B 1 2 C -2 D 2

Answer 1

The general expression for the slope of line passing through two coordintaes are :

`\text{ Slope=}(y_2-y_1)/(x_2-x_1)`

In the given question, two coordinates are : (-2, -6) & ( 2,2)

`\begin{gathered} (x_1,y_1)=(-2,-6) \\ (x_2,y_2)=(2,2) \\ \text{ Substitute the value in the expression of slope:} \\ \text{ Slope=}(y_2-y_1)/(x_2-x_1) \\ \text{ Slope=}(2-(-6))/(2-(-2)) \\ \text{ Slope=}(2+6)/(2+2) \\ \text{ Slope=}(8)/(4) \\ \text{ Slope=2} \end{gathered}`

Slope = 2

Answer : D) 2