IXL | Relate the graph of an equation to its solutions

This is the graph of the equation

–

Which ordered pairs are solutions to the equation? Select all that apply.

(

)

(

–

)

(

–

)

(

–

)

(

–

)

(

)

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Learn with an example

question

This is the graph of the equation

–

Which ordered pairs are solutions to the equation? Select all that apply.

(

)

(

–

)

(

)

(

–

)

(

)

(

–

)

key idea

The points on the graph of an equation represent solutions to the equation. In other words, the coordinates of those points make the equation true.

solution

The graph of the equation

–

is a straight line. The ordered pairs

(

–

)

and

(

)

represent points on that line.

So,

(

–

)

and

(

)

are solutions to the equation

–

You can check this by substituting the

and

-coordinates

into the equation. For example, this shows how to check

(

–

)

–

≟

(

–

)

–

(

–

)

≟

–

≟

This equation is true, which means

(

–

)

is a solution to the equation

–

You can check

(

)

in the same way.

The ordered pairs

(

)

(

–

)

(

)

and

(

–

)

represent points that are not on the line.

So,

(

)

(

–

)

(

)

and

(

–

)

are not solutions to the equation

–

Their

and

-coordinates

will make the equation false.

Looking for more? Try this:

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Teacher tools

Work it out

Not feeling ready yet? These can help:

AA.1Is (x, y) a solution to the linear equation?

X.6Identify the graph of an equation

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