Question

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

Answer 1

It will be (4.5)
Because slope equals to y2-y1/x2-x1

Answer 2

`Slope = (9)/(2)`

Explanation:

The general equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept is rise over run

`m = \frac {(y_(2) - y_(1))} {(x_(2) - x_(1))}`

where (x₁, y₁) and (x₂, y₂) are any two points on the line

For the line passing through (2, 5) and (0, -4) , the slope

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

`m = (-9)/(-2)`

`m = (9)/(2)`

In decimal that would be m = 4.5