Question

Graph the line with the given point and slope.
The line through​ (0,0) with slope one third

Answer 1

To graph the line given the point \((0, 0)\) and the slope \(\frac{1}{3}\), you can follow these steps:

1. **Plot the Point**: Start by plotting the point \((0, 0)\) on your coordinate plane.

2. **Calculate Another Point Using the Slope**: The slope \(\frac{1}{3}\) means that for every 1 unit you move up vertically (rise), you will move 3 units to the right horizontally (run).

Starting from the point \((0, 0)\):
- Move 1 unit up to (0, 1).
- Then move 3 units to the right to (3, 1).

Now, you have another point: \((3, 1)\).

3. **Plot the Second Point**: Plot the point \((3, 1)\) on the coordinate plane.

4. **Draw the Line**: Use a ruler to draw a straight line through the points \((0, 0)\) and \((3, 1)\). Extend the line in both directions and add arrowheads at both ends to indicate that the line continues indefinitely.

5. **Label the Line** (optional): You can label the line with its equation, which is \(y = \frac{1}{3}x\).

Now, you have a graph representing the line that goes through the point \((0, 0)\) with a slope of \(\frac{1}{3}\).