Question

Determine the slope of a line containing the two points (0,3) and (4,2)

Answer 1

m = -1/4

Explanation:

To find the slope of the line which passes through the points, we are going to use the slope formula.

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

Substitute the values.

`m=\cfrac{2-3}{4-0}`

Simplify

`m=\cfrac{-1}{4}`

`m=-\cfrac{1}{4}`

Answer 2

slope = -
`(1)/(4)`

Explanation:

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (4, 2 )

substitute these values into the formula for m

m =
`(2-3)/(4-0)` =
`(-1)/(4)` = -
`(1)/(4)`