Question

if the
ation. show this point on the graph.

1. $y = \frac{1}{3}x + 2$

Explanation:

Step1: Choose x value, solve for y

Let $x=3$. Substitute into $y=\frac{1}{3}x + 2$:
$y=\frac{1}{3}(3) + 2 = 1 + 2 = 3$

Step2: Identify valid point

The calculated point is $(3, 3)$.

Step3: Plotting guidance

On the graph, move 3 units right from the origin, then 3 units up to mark $(3, 3)$. The line $y=\frac{1}{3}x + 2$ also crosses the y-axis at $(0,2)$, which is another easy point to plot.

Answer:

One point on the graph is $\boldsymbol{(3, 3)}$. To plot it: start at the origin $(0,0)$, move 3 units to the right along the x-axis, then 3 units up along the vertical direction and mark the point. Additionally, the y-intercept point $\boldsymbol{(0, 2)}$ is also on the line (0 units right from origin, 2 units up).