Question

What is the slope of the line passing through the following points: `(4, 2) , (-2, 4)`?

Answer 1

See a solution process below:

Explanation:

The formula for find the slope of a line is:

`m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `(color(blue)(x_1), color(blue)(y_1))` and `(color(red)(x_2), color(red)(y_2))` are two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(4) - color(blue)(2))/(color(red)(-2) - color(blue)(4)) = 2/-6 = -1/3`

Answer 2

`"slope "=-1/3`

Explanation:

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

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

`"let "(x_1,y_1)=(4,2)" and "(x_2,y_2)=(-2,4)`

`rArrm=(4-2)/(-2-4)=2/(-6)=-1/3`