The linear function is a function that has a straight line graph.
Response:
A set of coordinate that model a linear function is presented as follows;
- {(0, 5), (1, 8), (2, 11), (3, 14), (4, 17), (5, 20)}
Method by which the above set of coordinates is obtained
A linear function is a function that can be written in the form; y = m·x + c
Where;
m = The slope of the graph is a constant
c = The y-intercept of the graph is a constant
Therefore,
Therefore, a set of coordinates can be obtained by setting the values of m and c as follows;
When m = 3, and c = 5, we have;
y = 3·x + 5
Using the above equation, we get;
[tex]\begin{tabular}{|c|c|} \underline{x} & \underline{y = 3 \cdot x + 5}\\0&5\\1&8\\2&11 \\3&14\\4&17\\5&20\end{array}\right][/tex]
Using the above table of values, a set of coordinates that model a linear function is therefore;
{(0, 5), (1, 8), (2, 11), (3, 14), (4, 17), (5, 20)}
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