Question

One linear function, t(x), can be modeled by the values in the table below. A second linear function can be modeled by the equation 4x − y + 4 = 0. When comparing the x-intercepts of these lines, which function has the largest x-intercept and what is this value?

x t(x)
−3 0
0 −4
3 −8
6 −12
9 −16

t(x) has the largest x-intercept: −4.
4x − y + 4 = 0 has the largest x-intercept: −1.
t(x) has the largest x-intercept: −3.
4x − y + 4 = 0 has the largest x-intercept: 4.

Answer 1

a

Explanation:

Answer 2

We know from table that x intercept (when y or t(x) is 0) is -3

next we can move over the -y from the given equation

y = 4+ 4x

solving for when y is 0

0 = 4 + 4x
-4 = 4x
x=-1

Thus the first equation has larger intercept of -1