Find the slope of the line passing through the pointg (7, 1) and (7, - 2). slope:
1 answer:
Answer: No slope / undefined
Step-by-step explanation:
Concept:
Here, we need to know the idea of a slope.
The slope is the measure of the steepness of a line.
The basic formula of slope is [Rise / Run] which is basically [Y] value (vertical) over [X] value (horizontal)
If you are still confused, please refer to the attachment below for the full formula.
Solve:
(7 ,1)
(7, -2)
Slope = (1 - (-2)) / (7-7)
Slope = (3) / 0
Slope = Undefined
Indeed, it is a vertical line. By definition, a vertical line has no slope.
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
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Problem 1
With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2
Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)
Use examples like this and you'll get the results you see in "figure 1"
For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.
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Problem 2
This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers.
With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2
Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)
Use examples like this and you'll get the results you see in "figure 1"
For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.
=======================================================
Problem 2
This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers.