Question

What is the slope of the line passing through the following points: `(–8, –6), (–3, 5)`?

Answer 1

`11/5`

Explanation:

The slope is given by:

`"change in y" / "change in x"`

Where between `(x_0,y_0) " and " (x_1 , y_1 )`the slope is

`( y_1 - y_0 ) /(x_1 - x_0 )`

Hence the slope of this is `(5 - (-6) ) / ( -3 - (-8) )`

`= 11/5`

Hence the slope is `11/5`

Answer 2

`"slope "=11/5`

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)=(-8,-6)" and "(x_2,y_2)=(-3,5)`

`m=(5-(-6))/(-3-(-8))=11/5`