Question

Find the slope of the line passing through (-3, 2) and (2, 4).

Answer 1

y2-y1/x2-x1

Answer 2

where y2=4, y1=2, x2=2 and x1=-3

Answer 3

Slope is the difference in y values over (divided by) the difference in x values.
Your y values are 2 and 4
Your x values are -3 and 2
Difference in y: 2 - 4 = -2
Difference in x: -3 - 2 = -5
Slope = -2 / (-5) = 2/5

Answer 4

Example:
Find the slope of the line passing through (-8, 10) and (-8, -7).
slope = (10 - (-7) ) / (-8 - (-8) ) = 17 / 0
Since this slope results in the division by zero, the slope is undefined.

Answer 5

Another example:
Find the slope of the line passing through (0, -5) and (-4, 7).
slope = (7 - (-5) ) / (-4 - 0) = (7 + 5) / (-3) = 12 / (-3) = -4