Question

Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?

y = –x + 4

Answer 1

Given:

The equation is:

`y=-x+4`

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

`y=-x+4`

At
`x=0`, we get

`y=-0+4`

`y=4`

So, the x-intercept of the given equation is at point (0,4).

At
`y=0`, we get

`0=-x+4`

`x=4`

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.