Question

What is the slope of the line passing through the following points: `(2,-6); (-2,-1)`?

Answer 1

`"slope "=-5/4`

Explanation:

`"calculate the slope m using the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(2,-6)" and "(x_2,y_2)=(-2,-1)`

`m=(-1-(-6))/(-2-2)=5/(-4)=-5/4`

Answer 2

`color(crimson)("Slope of the line " m = -(5/4)`

Explanation:

`"Slope of line through two points is given by "`

`m = (y_2 - y_1) / (x_2 - x_1)`

`(x_1, y_1) = (2, -6), (x_2, Y-2) = (-2, -1)`

`color(crimson)("Slope of the line " m = (-1 + 6) / (-2 - 2) = -(5/4)`