Question

Write an equation for this graph in slope-intercept form
y = 3x + 5
y = 3
1
x + 6
y = 6x + 3
1
y = 3x + 6

Answer 1

To determine the equation of a graph in slope-intercept form (y = mx + b), we need to identify the slope (m) and the y-intercept (b).

From the options you provided, let's analyze them:

1. \( y = 3x + 5 \)
- Slope (m) = 3
- Y-intercept (b) = 5

2. \( y = \frac{3}{1}x + 6 \) (which simplifies to \( y = 3x + 6 \))
- Slope (m) = 3
- Y-intercept (b) = 6

3. \( y = 6x + 3 \)
- Slope (m) = 6
- Y-intercept (b) = 3

4. \( y = 3x + 6 \)
- Slope (m) = 3
- Y-intercept (b) = 6

The equations \( y = 3x + 5 \) and \( y = 3x + 6 \) have the same slope but different y-intercepts, indicating they are parallel. The equation \( y = 6x + 3 \) has a different slope.

If you're looking for the equation of a graph, please clarify any specific points or characteristics from the graph, so we can determine which equation accurately represents it. Otherwise, you have several equations in slope-intercept form mentioned here.