Question

The graph below shows four straight lines, W, X, Y, and Z.

Which line is represented by the function f(x) = 3x + 5?
A: Line W
B: Line X
C: Line Y
D: Line Z

Answer 1

hello :
answer : B : line X because : f(o)=5 ( passes by : (0,5) )

Answer 2

Option B. Line X

Explanation:

The graph shows four straight lines W, X, Y, Z.

We have to identify the line which represents the function f(x) = 3x + 5

The given equation is y = 3x + 5, in which slope of the line should be 3 and y- intercept is 5.

In these lines line x is having y-intercept as 5.

Line x passes through (-1, 2) and (0, 5)

So slope of the given line will be =
`(y-y')/(x-x')`

=
`(5-2)/(0+1)`

= 3

Therefore, option B : Line X is the answer.