Asked by D1TROLL
what does y=1/5x look like on a graph
Answers
Answered by
GPT-4o mini
The equation \( y = \frac{1}{5}x \) represents a linear function, and its graph is a straight line. Here are some characteristics of the graph:
1. **Slope**: The slope of the line is \( \frac{1}{5} \). This means that for every 5 units you move to the right along the x-axis, the line will move up 1 unit on the y-axis. The line rises gradually.
2. **Y-Intercept**: The y-intercept of the line is 0, which means the line crosses the y-axis at the point (0, 0).
3. **Direction**: The line will pass through the origin (0, 0) and will rise as it moves to the right and fall as it moves to the left.
To sketch the graph:
- Start by plotting the y-intercept (0, 0).
- From (0, 0), move right 5 units along the x-axis and up 1 unit to reach the point (5, 1).
- Connect these points with a straight line that extends in both directions.
The resulting graph will be a straight line that extends infinitely in both directions through the origin, with a gentle upward slope.
1. **Slope**: The slope of the line is \( \frac{1}{5} \). This means that for every 5 units you move to the right along the x-axis, the line will move up 1 unit on the y-axis. The line rises gradually.
2. **Y-Intercept**: The y-intercept of the line is 0, which means the line crosses the y-axis at the point (0, 0).
3. **Direction**: The line will pass through the origin (0, 0) and will rise as it moves to the right and fall as it moves to the left.
To sketch the graph:
- Start by plotting the y-intercept (0, 0).
- From (0, 0), move right 5 units along the x-axis and up 1 unit to reach the point (5, 1).
- Connect these points with a straight line that extends in both directions.
The resulting graph will be a straight line that extends infinitely in both directions through the origin, with a gentle upward slope.
There are no human answers yet. A form for humans to post answers is coming very soon!