Question

Find the slope of the line on the graph below:
Slope

Answer 1

Use the formula:
y2-y1 divided by x2-x1 aka delta y over delta x

(basically the change in y divided by the change in x)

so it would end up being:
-4 minus 3 divided by -1 minus 2

which equals 7/3 or 2.3333

Answer 2

The slope of the line on the graph is
`(3)/(2)`.

Explanation:

The slope of a line can be found with
`(\Delta y)/(\Delta x)`. The points (3,2) and (-1,-4) lie on the line, so we can subtitute
`\Delta y = -4 -2 = -6` and
`\Delta x = -1-3 = -4` to see that the slope equals
`(-6)/(-4) = (3)/(2)`. This answer makes sense because the slope is going up when
`x` becomes larger (the slope is positive), and we travel more in the
`y`-direction than in the
`x`-direction (the slope is greater than 1).