Question
Graph the line that passes through the given point and has the given slope m.
1) (-2,6); m= -1/2
1) (-2,6); m= -1/2
Answers
GPT-4o mini
To graph the line that passes through the point \((-2, 6)\) with a slope of \(m = -\frac{1}{2}\), follow these steps:
1. **Plot the Point**: Start by plotting the point \((-2, 6)\) on a Cartesian plane. Locate \(-2\) on the x-axis and \(6\) on the y-axis.
2. **Use the Slope**: The slope of \(-\frac{1}{2}\) means that for every 2 units you move to the right (positive direction on the x-axis), you move 1 unit down (negative direction on the y-axis).
3. **Find Another Point**:
- From \((-2, 6)\), move 2 units to the right to \(0\) (x-coordinate).
- Move 1 unit down from \(6\) to \(5\) (y-coordinate).
- This gives you the point \((0, 5)\).
4. **Plot the Second Point**: Now plot the point \( (0, 5) \) on the graph.
5. **Draw the Line**: Use a straight edge to draw a line through the points \((-2, 6)\) and \((0, 5)\). Extend the line in both directions, adding arrows to indicate that it continues infinitely.
Your graph should show a line passing through the points you plotted, with a downward slope.
1. **Plot the Point**: Start by plotting the point \((-2, 6)\) on a Cartesian plane. Locate \(-2\) on the x-axis and \(6\) on the y-axis.
2. **Use the Slope**: The slope of \(-\frac{1}{2}\) means that for every 2 units you move to the right (positive direction on the x-axis), you move 1 unit down (negative direction on the y-axis).
3. **Find Another Point**:
- From \((-2, 6)\), move 2 units to the right to \(0\) (x-coordinate).
- Move 1 unit down from \(6\) to \(5\) (y-coordinate).
- This gives you the point \((0, 5)\).
4. **Plot the Second Point**: Now plot the point \( (0, 5) \) on the graph.
5. **Draw the Line**: Use a straight edge to draw a line through the points \((-2, 6)\) and \((0, 5)\). Extend the line in both directions, adding arrows to indicate that it continues infinitely.
Your graph should show a line passing through the points you plotted, with a downward slope.