Question

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

Answer 1

To write the equation for the given graph in slope-intercept form \(y = mx + b\), we need to identify the slope (m) and the y-intercept (b).

The equations you provided are already in slope-intercept form. Let’s analyze them:

1. \(y = 3x + 5\) - Slope \(m = 3\), y-intercept \(b = 5\).
2. \(y = \frac{1}{3}x + 6\) - Slope \(m = \frac{1}{3}\), y-intercept \(b = 6\).
3. \(y = 6x + \frac{1}{3}\) - Slope \(m = 6\), y-intercept \(b = \frac{1}{3}\).
4. \(y = 3x + 6\) - Slope \(m = 3\), y-intercept \(b = 6\).

If you need to identify a specific equation based on a graph, please provide more details about the graph itself, such as points or the orientation of the lines. Otherwise, these equations are valid in slope-intercept form as written.