Question

Graph this line using the slope and y-intercept:
y=7x–4
Click to select points on the graph.

Answer 1

To graph the line given by the equation \( y = 7x - 4 \), we will use the slope and the y-intercept.

1. **Identify the y-intercept**: In the equation \( y = mx + b \), \( b \) is the y-intercept. Here, \( b = -4 \). This means the line crosses the y-axis at the point (0, -4).

2. **Identify the slope**: The slope \( m \) is 7. This means for every 1 unit you move to the right (positive x direction), the line goes up 7 units.

Now, we can plot the points:

- Start at the y-intercept (0, -4).
- From (0, -4), move 1 unit to the right to (1, -4) and then move up 7 units. This gives you the point (1, 3).

Now we can plot another point using (1, 3) as a starting point:

- From (1, 3), move 1 unit to the right to (2, 3) and then move up 7 units to get to (2, 10).

Now plot the points (0, -4), (1, 3), and (2, 10) on the graph, and then draw a line through these points.

This will represent the line \( y = 7x - 4 \).

If you have access to graph paper or graphing software, you can also input the equation directly to visualize the line.