How do you find the slope of the line through the points ( 6, -6) and ( 4, 5)?

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Answer 1 · 2018-07-19T01:40:14

The slope is $11/-2$ or $-5.5$ .

To find the slope given two points, we use the formula $"rise"/"run"$ , or $(y_2-y_1)/(x_2-x_1)$ .

Plug in the given points into the formula:
$(5-(-6))/(4-6) = 11/-2$

Therefore, the slope is $11/-2$ or $-5.5$ .

Hope this helps!

Answer 2 · 2018-07-19T02:14:07

$-11/2$

To find the slope between two points, we can use the formula

$(Deltay)/(Deltax)$

Where the Greek letter Delta ( $Delta$ ) is shorthand for "change in".

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

We go from $y=-6$ to $y=5$ , which represents a $Deltay$ of $11$ .

We go from $x=6$ to $x=4$ , which represents a $Deltax$ of $-2$ .

Therefore, our slope is $-11/2$ .

Hope this helps!