Question

How do you find the slope of (2, -5) and (-1, -1)?

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

Answer 2

`"slope "=-4/3`

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,-5)" and "(x_2,y_2)=(-1,-1)`

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