Question

Find the slope of the line that passes through the two points.
(12,-5) and (10,-4)

Answer 1

Given parameters:

First point = (12, -5)

Second point = (10, -4)

Unknown:

Slope of the line = ?

Slope is simply the vertical rise divided by the horizontal distance.

Slope =
`(Rise )/(horizontal distance)`

Simply to find slope;

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

First point = (12, -5), x₁ = 12 and y₁ = -5

Second point = (10, -4), x₂ = 10 and y₂ = -4

Input the parameters:

Slope =
`(-4 -(-5))/(10 - 12)`

=
`(-4 + 5)/(-2)`

= -
`(1)/(2)`

The slope of the line is -
`(1)/(2)`