Question

Which graph represents a linear function?

Answer 1

y + 2x = 10 (third option)

Explanation:

We can see that every time x increases by one, y increases by -2, meaning that the slope is -2.

We also know that the y-intercept is 10 because that is the value of y when x is equal to 0.

Now, we can create the equation using the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).

y = -2x + 10

If you look at the third option, that equation is just a rearranged form of our equation (y + 2x = 10).

This means that the third option is correct.

Answer 2

C, or y+2x=1-

Explanation:

Test them one by one. Put the y into the equation and the x in the equation. Whichever ones always work are the correct answer. Remeber, you have to consider all the possible values of x and y when you test them!

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