Question

Drag the red and blue dots along the x-axis and y-axis to graph 6, x, plus, 3, y, equals, 96x+3y=9.

were are the 2 points also both points have 0 in one area

Answer 1

To graph the equation \( 6x + 3y = 9 \), we need to find the x-intercept and y-intercept by setting the other variable to 0.

1. **Finding the x-intercept:**
Set \( y = 0 \) in the equation:
\[
6x + 3(0) = 9 \implies 6x = 9 \implies x = \frac{9}{6} = \frac{3}{2} = 1.5
\]
Thus, the x-intercept is the point \( (1.5, 0) \).

2. **Finding the y-intercept:**
Set \( x = 0 \) in the equation:
\[
6(0) + 3y = 9 \implies 3y = 9 \implies y = \frac{9}{3} = 3
\]
Thus, the y-intercept is the point \( (0, 3) \).

### Points to graph:
- The x-intercept is \( (1.5, 0) \)
- The y-intercept is \( (0, 3) \)

These two points can be used to draw the line representing the equation \( 6x + 3y = 9 \).