Questions: Graph the line. y = 1/3 x

Transcript text: Graph the line. \[ y=\frac{1}{3} x \]

Solution

Step 1: Identify the slope (m) and y-intercept (b)

The given equation is in the form $y = mx + b$, where $m = 0.33$ and $b = 0$.

Step 2: Plot the y-intercept (b) on the graph

The y-intercept is at the point (0, 0). This is where the line crosses the y-axis.

Step 3: Use the slope (m) to determine another point on the line

Using the slope $m = 0.33$, we move from the y-intercept to another point on the line, which is (1, 0.33).

Step 4: Draw a straight line through the two points

By connecting the two points, we graphically represent the equation of the line.

The line with slope $m = 0.33$ and y-intercept $b = 0$ is graphed by connecting the points (0, 0) and (1, 0.33).

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