Question

1.fill in the missing values to the table belowx | 0 | 1 | 2 | 3 | 4 | 5y | - | 11 | 17 | 23 | - | - 2 write the equation for the table.

Answer 1

1. The difference between two consecutive x-values is always 1.

The difference between two consecutive y-values is:

17 - 11 = 23 - 17 = 6

Then, when x = 0, y must be:

11 - y = 6

11 = 6 + y

11 - 6 = y

5 = y

when x = 4, y must be:

y - 23 = 6

y = 6 + 23

y = 29

when x = 5, y must be:

y - 29 = 6

y = 6 + 29

y = 35

Then, the complete table is:

x | 0 | 1 | 2 | 3 | 4 | 5

y | 5 | 11 | 17 | 23 | 29 | 35

2. As x-values increment 1 unit, y-values increment 6 units. This corresponds to the equation of a line with a slope of 6. At x = 0, y = 5, this means that the y-intercept of the line is 5. Using slope-intercept form:

y = mx + b

y = 6x + 5