Question

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

Answer 1

See a solution process below:

Explanation:

The slope can be found by using the formula: `m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

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

Substituting the values from the points in the problem gives:

`m = (color(red)(5) - color(blue)(3))/(color(red)(-3) - color(blue)(5)) = 2/-8 = -1/4`

Answer 2

`"slope "=-1/4`

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

`rArrm=(5-3)/(-3-5)=2/(-8)=-1/4`