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

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Answer 1 · 2018-07-08T16:54:10

$m=-5$

Slope is given by the formula

$(Deltay)/(Deltax)$ , 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 $Deltax=-3$ .

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

We can plug these values into our slope formula to get

$m=15/-3=-5$

Therefore, our slope is $-5$ .

Hope this helps!