Question

Which of the following equations does not represent the line in the graph shown above?

A. y = −(1/2)x + 2

B. y = (1/2)x + 2

C. y − 2 = −(1/2)x

D. (1/2)x = 2 − y

Answer 1

Let's rewrite C. and D. so they are in the y = mx + b form.

C. y - 2 = -(1/2)x
y = -(1/2)x + 2

D. (1/2)x = 2 - y
y + (1/2)x = 2
y = -(1/2)x + 2

Now let's look at all the choices again in y = mx + b form:

A. y = −(1/2)x + 2
B. y = (1/2)x + 2
C. y = -(1/2)x + 2
D. y = -(1/2)x + 2

Notice that three of the choices are the same equation. Only one choice is a different equation. Also, notice that the three equations that are the same have a negative slope. That means this is a line that tilts down to the right. The equation that is different has a positive slope which means a line that tilts up to the right.

Answer 2

So it would be B