What is the slope of the line that passes through the points (-4, -2)(−4,−2) and (-4, -22) ?(−4,−22)? Write your answer in simpl

Question

3 years ago

6

est form.

1 answer:

Anestetic [448] · Answer 1 · 2021-12-31T21:24:09+03:00

The line is vertical, so the slope is infinite

Step-by-step explanation:

Given two points with coordinates $(x_1, y_1)$ and $(x_2,y_2)$ , the slope of the line passing through the two points is given by the equation

$m=\frac{y_2-y_1}{x_2-x_1}$

In this problem, the coordinates of the two points are:

$(x_1,y_1)=(-4,-2)$

and

$(x_2,y_2)=(-4,-22)$

which means:

$x_1=-4\\y_1=-2\\x_2=-4\\y_2=-22$

Substituting all these values into the equation of m, we find the slope of the line:

$m=\frac{-22-(-2)}{-4-(-4)}=\frac{-20}{0}=\infty$

The slope is infinite: this is because the line is vertical.

Learn more about slope of a line:

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