Question

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

Answer 1

To graph the linear equation \( y = -3x + 2 \), we can determine a couple of points that satisfy the equation.

1. **Finding the y-intercept**: This occurs when \( x = 0 \).
\[
y = -3(0) + 2 = 2
\]
So, the point is \( (0, 2) \).

2. **Finding another point**: Let's choose \( x = 1 \).
\[
y = -3(1) + 2 = -3 + 2 = -1
\]
So, the point is \( (1, -1) \).

Now we have the points \( (0, 2) \) and \( (1, -1) \).

Looking at the options provided:

- A. (-2,2), (0,1)
- B. (0,3), (1,5)
- C. (0,-2), (1,-5)
- **D. (0,2), (1,-1)**

The correct choice is **D. (0,2), (1,-1)**.