Question

Graph the function y=−2x (1 point)

Answer 1

To graph the function \( y = -2x \), you can follow these steps:

1. **Identify the slope and y-intercept**: The function is in the form of \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, the slope \( m = -2 \) and the y-intercept \( b = 0 \).

2. **Plot the y-intercept**: Start by plotting the point at the y-intercept, which is \( (0, 0) \).

3. **Use the slope to find another point**:
- Since the slope is -2, it means that for every 1 unit you move to the right (positive x direction), you move down 2 units (negative y direction).
- Starting from the point \( (0, 0) \), moving 1 unit to the right to \( (1, 0) \) and 2 units down gives you the point \( (1, -2) \).
- Alternatively, you could also go 1 unit to the left (negative x direction) to \( (-1, 0) \) and then move up 2 units to find another point, which would be \( (-1, 2) \).

4. **Draw the line**: Use a ruler to draw a straight line through the points \( (0, 0) \) and \( (1, -2) \). Extend the line in both directions.

5. **Label your axes**: Make sure to label the x-axis and y-axis for clarity.

The graph of \( y = -2x \) is a straight line that passes through the origin and slopes downward to the right.