The equation given in the image is:

$y = \frac{-3}{8}x$

This equation is in the slope-intercept form:

$y = mx + b$

Where:

• $m$ is the slope of the line.
• $b$ is the y-intercept.

Step 1: Identify the slope

In this case, $m = \frac{-3}{8}$, so the slope is:

$\text{slope} = -\frac{3}{8}$

Step 2: Identify the y-intercept

There is no constant term, which means the y-intercept $b = 0$. So, the line passes through the origin $(0, 0)$.

Final Answer:

• The slope is $-\frac{3}{8}$.

Do you need further explanation or details?

Here are 5 related questions to explore:

1. How do you find the slope from an equation not in slope-intercept form?
2. What does a negative slope indicate about the direction of a line?
3. How would you graph this line on a coordinate plane?
4. What is the slope of a vertical line, and why is it undefined?
5. How do you find the x- and y-intercepts of a linear equation?

Tip: The slope describes how steep a line is, and the y-intercept shows where the line crosses the y-axis!