Question

Which function of t has the same slope and y-intercept as f(x)?

Answer 1

f(t) = t + 4
f(t) = t – 6
f(t) = 2t + 4
f(t) = 2t + 6

Answer 2

Answer:

None of the option is correct

Step-by-step explanation:

The question is not complete. The complete question is:

The table given below represents the function f(x)

x  :  f(x)

-6 :  0

-3  : 2

0  :  4

3  :  6

6  :  8

Which function of t has the same slope and y-intercept as  

f(t) = t + 4

f(t) = t – 6

f(t) = 2t + 4

f(t) = 2t + 6

From the table given above we can find the slope m

m = $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

m = $\frac{2-0}{-3-(-6)}$

m = $\frac{2}{-3 + 6}$

m = $\frac{2}{3}$

As we can see the when x is zero in the table value of f(x) is 4. So, it means y intercept i.e. c is 4

So, using the slope intercept form

y = mx + c

y = ($\frac{2}{3}$)x + 4 .....(1

Now, we can see the none of the option given matches our equation found in (i).