Question

Which graph shows the correct graph of y=1/3x+2

Answer 1

D

Explanation:

The y-intercept (the value of y when x =0) of this graph is y = 1/3(0) +2. So, (0, 2) should be the y-intercept. By looking at the graph of D you can tell that at point x = 0, y = 2. Also, the equation is written in the slope-intercept form (y =mx + b) The slope of this line is 1/3. If you choose any two points from the line and calculate the rise/ run by using the slope formula or by directly counting the units, you will find that it is indeed 1/3.

Answer 2

This problem can be done by process of elimination.

Notice that in our equation, our slope is positive.

In all these graphs, we have a negative slope.

Slope just describes how steep a line is.

The only graph that has a positive or upward slope is D.

So this is our answer.