Question

Assuming the table below represents the linear function, g(x). Thalia says that there is no y intercept of 9(.). What would you say in response? Is she correct? Why or why not? g(x) -3 5 11 1 17

Answer 1

Sara, this is the solution:

Let's find the slope and y-intercept this way:

(-3, 5) and (1, 17)

Formula for the slope:

m = (17 - 5)/(1 - -3)

m = 17 - 5/ 1 + 3

m = 12/4

m = 3

Now, using the formula y = mx + b, let's find the y-intercept, as follows:

y = mx + b

We will use (1, 17)

17 = 1 * 3 + b

17 = 3 + b

17 - 3 = b

b = 14

In consequence, the y-intercept is (0, 14). Thalia is not correct.