Question

The equation, $y=\frac{3}{2}x+3$ represents the number of juice cups sold in a particular time period. Which graph is the correct representation of the given equation?

• A.
• B.
• C.
• D. Can't be deterrmined

Answer 1

The correct option is C

The given equation is $y=\frac{3}{2}x+3$.

As $b=3$, the point on the y-axis is (0,3).

We know that,
$\text{Slope}=\frac{3}{2}=\frac{\text{Change in y-axis}}{\text{Change in x-axis}}$

Now, with respect to point (0,3), we have to move 3 from 3 along the y-axis, which becomes $=3+3=6$

Similarly, with respect to the point (0,3), we have to move 2 units from 0 along the x-axis which becomes $=0+2=2$

So, the second point we get on the graph is (2,6).


Let us mark the points on the graph and join the line connecting them.

The required graph is:


So, option (c) is the correct answer.