Question

Where do I plot points for y = 2x - 3

Answer 1

To plot the points for the equation \( y = 2x - 3 \), you can follow these steps:

1. **Create a table of values**: Choose several values for \( x \) and calculate the corresponding \( y \) values using the equation.

Here are some example points:

- For \( x = -2 \):
\[
y = 2(-2) - 3 = -4 - 3 = -7 \quad \Rightarrow \quad (-2, -7)
\]

- For \( x = -1 \):
\[
y = 2(-1) - 3 = -2 - 3 = -5 \quad \Rightarrow \quad (-1, -5)
\]

- For \( x = 0 \):
\[
y = 2(0) - 3 = 0 - 3 = -3 \quad \Rightarrow \quad (0, -3)
\]

- For \( x = 1 \):
\[
y = 2(1) - 3 = 2 - 3 = -1 \quad \Rightarrow \quad (1, -1)
\]

- For \( x = 2 \):
\[
y = 2(2) - 3 = 4 - 3 = 1 \quad \Rightarrow \quad (2, 1)
\]

2. **Plot the points**: On a coordinate graph, plot the points you calculated:
- Plot (-2, -7)
- Plot (-1, -5)
- Plot (0, -3)
- Plot (1, -1)
- Plot (2, 1)

3. **Draw the line**: Since this is a linear equation, you can connect the points with a straight line. This line will extend infinitely in both directions.

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

By following these steps, you should have a clear graph representing the equation \( y = 2x - 3 \). The graph will have a slope of 2, meaning it rises 2 units for every 1 unit it moves to the right, and it will intersect the y-axis at -3.