To graph the equation $y - \frac{1}{4}x = -3$, we can first rewrite it in slope-intercept form (i.e., $y = mx + b$) to identify the slope and y-intercept. Here's how:

1. Start with the given equation: $y - \frac{1}{4}x = -3$

2. Solve for $y$: $y = \frac{1}{4}x - 3$

Now, the equation is in slope-intercept form, where:

• The slope ($m$) is $\frac{1}{4}$.
• The y-intercept ($b$) is $-3$.

Graphing Steps:

1. Plot the y-intercept: Start by plotting the point $(0, -3)$ on the graph. This is where the line crosses the y-axis.
2. Use the slope: The slope is $\frac{1}{4}$, which means that for every 4 units you move to the right along the x-axis, you move 1 unit up along the y-axis. So from $(0, -3)$, move right 4 units and up 1 unit to plot another point at $(4, -2)$.
3. Draw the line: Once you have at least two points, draw a straight line through them, extending in both directions.

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