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MysteryDove12
17.02.2021 •
Mathematics
Given that a linear function goes through the points (3,2) and (5, 6) determine the slope of the line.
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Ответ:
2
Step-by-step explanation:
The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.
First, find the change in y between the two points. To do this, do y2 - y1.
y2 = 6 and y1 = 2, so you have 6 - 2 = 4.
Next, find the change in x between the two points. To do this, do x2 - x1.
x2 = 5 and x1 = 3, so you have 5 - 3 = 2.
All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.
The last step is to do change in y divided by change in x, so 4 / 2 = 2.
This means that the slope of the line is 2.
Ответ:
{(0, 2), (1, 4), (2, 6), (3, 6)}.
The reason why is because of the vertical line test. If there are two y-coordinates on a x-coordinate then it is not a function. A function is that each x-coordinate has a y-coordinate with the x-coordinates being different.
Example is above. If you have any questions then leave a comment. Good luck!