The points that are on the linear function 2x + y = 10 are given as follows:
(5,0), (4,2), (9,-8).
<h3>How to verify if a point is on a function?</h3>
To verify if a point is on a function, we replace the instances of x and y in the function by the numeric values of the points, and then an identity has to be reached to verify if the point is on the function.
For this problem, the function is given by:
2x + y = 10.
For point (5,0), we have that x = 5, y = 0, hence:
2(5) + 0 = 10
10 = 10
Hence point (5,0) is on the function.
For point (4,2), we have that x = 4, y = 2, hence:
2(4) + 2 = 10
10 = 10
Hence point (4,2) is on the function.
For point (9,-8), we have that x = 9, y = -8, hence:
2(9) - 8 = 10
10 = 10
Hence point (9,-8) is on the function.
The line is given at the graph at the end of the answer, with the points also plotted.
More can be learned about linear functions at brainly.com/question/24808124
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