How do you find the slope given (2, -10) (-1, 5)?

Jul 8, 2018

$m = - 5$

Explanation:

Slope is given by the formula

$\frac{\Delta y}{\Delta x}$, where the Greek letter Delta represents "change in".

We just find out how much our $y$ changes by, and divide it by how much our $x$ changes by.

In our example, $x$ goes from $2$ to $- 1$, which represents a decrease in $3$. So we can say $\Delta x = - 3$.

On the other hand, $y$ goes from $- 10$ to $5$, which represents an increase in $15$. We can say $\Delta y = 15$.

We can plug these values into our slope formula to get

$m = \frac{15}{-} 3 = - 5$

Therefore, our slope is $- 5$.

Hope this helps!