Question

What is the slope of the line passing through the points (2, 5) and (0, –4)?

a)9/2
b)-2/9
c)-9/2
d)2/9

Answer 1

a

Explanation:

To calculate the slope m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (0, - 4)

m =
`(-4-5)/(0-2)` =
`(-9)/(-2)` =
`(9)/(2)` → a

Answer 2

a) 9/2

Explanation:

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points (2, 5) and (0, -4). Substitute:

`m=(-4-5)/(0-2)=(-9)/(-2)=(9)/(2)`