Create a table that has 5 points that meets both of the following conditions:
the y-intercept is 5
the slope is 3
Explain how you know that the y-intercept is 5.
Explain how you know that the slope is 3.
Table:
x | y
----------
0 | 5
1 | 8
2 | 11
3 | 14
4 | 17
Explanation of y-intercept being 5:
The y-intercept is the value of y when x=0. In the table, when x=0, the corresponding y value is 5. Therefore, the y-intercept is 5.
Explanation of slope being 3:
The slope is the rate of change of y with respect to x. In the table, as x increases by 1, the corresponding y value increases by 3. This consistent increase of 3 in y for every increase of 1 in x indicates a slope of 3. Therefore, the slope is 3.