Question

What is the y-intercept of the function, represented by the table of values below? x: -2,1,2,4,7 y: 14,8,6,2,-4

Answer 1

The y-intercept is at y = 10.

Explanation:

It will be between y = 14 and y = 7 because the corresponding x values are -2 and 1.

An increase of 3 units of x gives a decrease of 6 units of y fro the above values.

Then an increase of 1 ( 1 to 2) in x gives decrease in y of 2 (8 to 6). The other values show the same pattern.

So very unit increase in x, the y values change by -2.

So from x = -2 to 0 is +2 units for x and this will be -4 units for y so the y-intercept ( when x = 0) will be at y = 14-4 = 10

y-intercept is (0,10).