Question

Find the slope of the line that passes through the points (2,4) and (-4,2)

Answer 1

The slope is 1/3.

Explanation:

The formula for slope is
`(y_(2) -y_(1))/(x_(2)-x_(1) )` where
`y_(1)` and
`x_(1)` are the y- and x-coordinates of the first point, and
`y_(2)` and
`x_(2)` are the y- and x-coordinates of the second point, respectively.

Inputting our values into our formula, we get
`(2-4)/((-4)-2)`. Solving for the numerator first, we get
`(-2)/((-4)-2)`. Solving for the denominator, we get
`(-2)/(-6)`. This simplifies to 1/3.