How do you find the slope given (4,-4) and (4,2)?

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Answer 1 · 2018-07-19T01:44:43

The slope is undefined.

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:
$(2-(-4))/(4-4) = 6/0 = "undefined"$

The slope is undefined , meaning that it is a vertical line.

Hope this helps!

Answer 2 · 2018-07-19T02:16:42

Undefined slope

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

$(Deltay)/(Deltax)$

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

We just see how much our $y$ changes, and divide by how much our $x$ changes.

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

We stay at $x=4$ , so we can say $Deltax=0$ . Plugging these into our slope formula, we get

$6/0$

Notice, we are dividing by zero, which means we have a vertical line, which has an undefined slope.

Hope this helps!