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Find the slope of the line that passes through the following points. Write "undefined" if there is no slope. (-8, -3) (-8, -2) Write your answer as a fraction if needed.​

User Rajeshk
by
7.6k points

2 Answers

7 votes
Answer:
Undefined
Explanation:
Slope can be found by using the formula (y2 - y1) / (x2 - x1). In this case, -2 is y2, -3 is y1, and both x2 and x1 are equal to -8. (-2 - -3) / (-8 - -8) = 1/0. Since the denominator is 0, this slope is a vertical line, which is undefined.
User BoiseBaked
by
8.4k points
13 votes

Answer:

undefined

Explanation:

Given points: (-8, -3) and (-8, -2)

As the x-value of both points is the same, there is no slope.

Therefore, the line that passes through the two given points is a vertical line at
x=-8

Proof


\textsf{let}\:(x_1,y_1)=(-8,-3)


\textsf{let}\:(x_2,y_2)=(-8,-2)


\textsf{slope}\:(m)=(y_2-y_1)/(x_2-x_1)=(-2-(-3))/(-8-(-8))=(1)/(0)

Any number divided by zero is undefined.

User Sadashiv
by
8.3k points

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