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

Answer:

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

Step-by-step 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 $y = 8$