Question

Please help me asap will appreciate it a lot

Answer 1

Answer:

1

Step-by-step explanation:

So for this type of problem we use the formula $m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ with each variable (besides m which is slope) representing a different coordinate. (e.g. -3 could be $y_{2}$ in this case.) First, let's define which is which:

(3,2): $x_{1}, y_{1}$

(-2,-3): $x_{2}, y_{2}$

Now we need to replace the variables with their known values: $m=\frac{-3-2}{-2-3}$

Next, let's do the subtraction to simplify: $m=\frac{-5}{-5}$

And we can complete the division (all fractions are division!) to simplify even further: $m = 1$

Therefore, the slope of the line passing through the points (3,2) and (-2,-3) is 1.