The equation given is $y = \frac{3}{4}x - 3$, which is in slope-intercept form, $y = mx + b$, where:

• $m = \frac{3}{4}$ is the slope
• $b = -3$ is the y-intercept.

Steps to analyze:

1. Y-Intercept: The line intersects the y-axis at $(0, -3)$, so the graph must pass through this point.
2. Slope: The slope is $\frac{3}{4}$, meaning for every 4 units moved to the right on the x-axis, the line rises by 3 units on the y-axis.

Now, let's analyze the graphs:

• The top-left graph has a y-intercept of $-3$ and a positive slope, which appears to match $\frac{3}{4}$. The line rises by 3 and runs by 4 correctly.
• The other graphs either have incorrect y-intercepts or incorrect slopes.

Thus, the top-left graph is the correct representation of the equation.

Would you like more details on how to graph lines, or do you have other questions?

Related Questions:

1. How do you find the slope from two points?
2. What does a negative slope look like on a graph?
3. How does the slope-intercept form differ from point-slope form?
4. How can you check if a point lies on a given line?
5. What are other forms of linear equations besides slope-intercept form?

Tip:

When graphing, always plot the y-intercept first, then use the slope to find another point.