Answer:
1
Step-by-step explanation:
So for this type of problem we use the formula [tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] with each variable (besides m which is slope) representing a different coordinate. (e.g. -3 could be [tex]y_{2}[/tex] in this case.) First, let's define which is which:
(3,2): [tex]x_{1}, y_{1}[/tex]
(-2,-3): [tex]x_{2}, y_{2}[/tex]
Now we need to replace the variables with their known values: [tex]m=\frac{-3-2}{-2-3}[/tex]
Next, let's do the subtraction to simplify: [tex]m=\frac{-5}{-5}[/tex]
And we can complete the division (all fractions are division!) to simplify even further: [tex]m = 1[/tex]
Therefore, the slope of the line passing through the points (3,2) and (-2,-3) is 1.
