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Chapter 3: Q. 152 (page 278)

Why is the slope of a vertical line 鈥渦ndefined鈥�?

Short Answer

Expert verified

Vertical lines have no slope. We can't divide by zero, which is why this slope value is "undefined"

Step by step solution

01

. Given Information

We are given a vertical line in a graph and we know that it's slope is undefined

02

. Slope formula

To find a slope we use the formula :

y2-y1x2-x1

03

. Reason for the slope to be undefined 

In a vertical line the different in x-axis is zero and in the formula for slope we see the x-axis is in denominator and anything divided by zero gives us undefined , so

Vertical lines have no slope. We can't divide by zero, which is why this slope value is "undefined"

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