Question

Find the gradient of the line passing through -5,-5 and 3,-2

Answer 1

The gradient is 3/8.

Let's begin. We are given two points : (-5,-5) and (3,-2).

To find our gradient, we can use the formula :

`\boldsymbol{m=\cfrac{y_2-y_1}{x_2-x_1}}`

Substitute the values :

`\boldsymbol{m=\cfrac{-2-(-5)}{3-(-5)}=\cfrac{-2+5}{3+5}=\cfrac{3}{8}}`

Therefore, the gradient, m, = 3/8.

Answer 2

gradient =
`(3)/(8)`

Explanation:

calculate the gradient m using the gradient formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (- 5, - 5 ) and (x₂, y₂ ) = (3, - 2 )

substitute these values into the formula for m

m =
`(-2-(-5))/(3-(-5))` =
`(-2+5)/(3+5)` =
`(3)/(8)`