Question

This table lists the coordinates of points on a line. What is the y-intercept of the line?

x -2 -1 0 1 2 3
y 16 12 8 4 0 -4

Answer 1

The line intercepts the y-axis and
`y = 8`

Explanation:

The intersection on the y-axis of a line is found to be
`x = 0`.

That is, the intercept with the y-axis is the value of the function when x is equal to zero.

In this case we know the following points of the function:

x : -2 -1 0 1 2 3

y : 16 12 8 4 0 -4

Note that when
`x = 0` then
`y = 8`.

Therefore the line intercepts the y-axis and
`y = 8`