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Let's solve the given equation step by step:

The given equation is:

\[
5x + 8y - 40 = 0
\]

### a. Rewrite the equation in slope-intercept form (i.e., \(y = mx + b\)).

We start by isolating \(y\):

1. Move the term \(5x\) and \(-40\) to the other side:

   \[
   8y = -5x + 40
   \]

2. Now, divide every term by 8 to solve for \(y\):

   \[
   y = -\frac{5}{8}x + 5
   \]

So, the slope-intercept form of the equation is:

\[
y = -\frac{5}{8}x + 5
\]

### b. Find the slope and y-intercept.

From the slope-intercept form \(y = mx + b\):

- The slope \(m = -\frac{5}{8}\)
- The y-intercept \(b = 5\)

### c. Graphing the line.

To graph the line, you would:
1. Start at the y-intercept (0, 5) on the y-axis.
2. Use the slope \(-\frac{5}{8}\) to find another point: go down 5 units (since the slope is negative) and right 8 units to plot another point.
3. Draw a straight line through these points.

Would you like any further details on the graphing or any clarification?

Here are 5 related questions:
1. How do you convert any standard form equation to slope-intercept form?
2. What does the slope tell you about the direction of a line?
3. How do you find the x-intercept of this line?
4. Can you graph a line using only the intercepts?
5. What happens to the graph if the slope is positive?

**Tip:** When graphing lines, always plot at least two points to ensure accuracy!

Rewrite the given equation 5x + 8y - 40 = 0 in slope-intercept form. Give the slope and y-intercept. Use the slope and y-intercept to graph the linear function.

Learn how to rewrite the linear equation 5x + 8y - 40 = 0 in slope-intercept form, find the slope and y-intercept, and graph the function. A step-by-step guide for students in Grades 8-10.

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