Question

Graph the linear equation y = 2x - 3
A. (0,3) (1,5)
B. (0,1) (1,4)
C. (0,-1) (1,-3)
D. (0,-3) (1,-1)

Answer 1

To graph the linear equation \( y = 2x - 3 \), we can find the y-intercept and one additional point.

1. **Find the y-intercept** (where \( x = 0 \)):
\[
y = 2(0) - 3 = -3
\]
So, the y-intercept is \( (0, -3) \).

2. **Find another point** (let's use \( x = 1 \)):
\[
y = 2(1) - 3 = 2 - 3 = -1
\]
So, another point on the line is \( (1, -1) \).

With these two points, we can verify which option matches:

- **Point (0, -3)** is the y-intercept.
- **Point (1, -1)** is the second point we found.

Comparing with the provided options:

- A. (0,3) (1,5)
- B. (0,1) (1,4)
- C. (0,-1) (1,-3)
- D. (0,-3) (1,-1)

The correct answer is **D. (0,-3) (1,-1)**.