https://file.aiquickdraw.com/mathbot/file/1726188012574jkpxkhev.jpg

The equation given in the image is:

\[
7x - 8f(x) - 28 = 0
\]

This can be rewritten to solve for \( f(x) \), which is the function of \( x \). Let's rearrange the equation step-by-step:

\[
7x - 8f(x) - 28 = 0
\]

### Step 1: Add \( 28 \) to both sides
\[
7x - 8f(x) = 28
\]

### Step 2: Solve for \( f(x) \) by isolating it
\[
-8f(x) = 28 - 7x
\]

### Step 3: Divide both sides by \( -8 \)
\[
f(x) = \frac{7x - 28}{8}
\]

Simplify the equation:
\[
f(x) = \frac{7}{8}x - \frac{28}{8} = \frac{7}{8}x - 3.5
\]

This is the equation of a straight line, where the slope is \( \frac{7}{8} \) and the y-intercept is \( -3.5 \).

Now you can graph this line by plotting the y-intercept at \( (0, -3.5) \) and using the slope \( \frac{7}{8} \) to determine the rise over run.

Do you want more details or help with graphing?

Here are 5 related questions:
1. What is the significance of the slope in a linear equation?
2. How can you determine the x-intercept of a line?
3. How would the graph change if the slope were negative?
4. Can this equation be expressed in point-slope form?
5. How would you graph a parallel line to this equation?

**Tip**: In linear equations, the slope controls the steepness of the line.

Graph the linear equation: 7x - 8f(x) - 28 = 0

Learn how to solve and graph the linear equation 7x - 8f(x) - 28 = 0. This solution covers key algebraic concepts, including solving for the function f(x) and graphing using slope and y-intercept. Suitable for students in Grades 8-10.

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