Question

What is the slope of the line?

Answer 1

Find two points on the line that are on lattice points (so you can easily identify their coordinates). I choose to use (0, 2) and (2, -1).

Using rise over run: start at (0, 2) and count the rise (vertical) and run (horizontal) to get to (2, -1). rise = -3, run = +2.

slope (m) =
`(-3)/(2)`

Using slope formula:
`(y_(2)-y_(1)  )/(x_(2) - x_(1) )`

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

Answer:
`(-3)/(2)`