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

y = –x + 4

Which graph below shows a line that contains ordered pairs that are solutions of the-example-1
User Norling
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1 Answer

4 votes

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.

User Rookie
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