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Let's first solve the equation \(3x - 4 = 5\).

### Step 1: Solve for \(x\)

Start by isolating \(x\) on one side of the equation.

\[
3x - 4 = 5
\]

Add 4 to both sides to move the constant term to the other side:

\[
3x = 5 + 4
\]

\[
3x = 9
\]

Now divide both sides by 3:

\[
x = \frac{9}{3}
\]

\[
x = 3
\]

### Step 2: Graphing the Equation

To graph this equation, you can represent it as a linear equation. Rewriting the equation in the slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept:

\[
y = 3x - 4
\]

Now, plot this line on the grid. The slope is 3, meaning that for every unit you move to the right on the x-axis, you move up 3 units on the y-axis. The y-intercept is \(-4\), which means the line crosses the y-axis at \((0, -4)\).

The solution to the equation \(3x - 4 = 5\) is \(x = 3\). To find the corresponding \(y\)-value, substitute \(x = 3\) into the equation:

\[
y = 3(3) - 4 = 9 - 4 = 5
\]

Thus, the point of intersection on the graph is \((3, 5)\).

### Answers:
- **Graph**: Draw the line \(y = 3x - 4\).
- **Solution to the equation**: \(x = 3\).

Do you need further explanation or help with graphing it?

Here is an equation: 3x - 4 = 5. Draw a graph to help solve the equation. Then find the solution to the equation.

Learn how to solve the linear equation 3x - 4 = 5 and graph it step-by-step. This solution covers key algebraic concepts such as isolating variables and converting to slope-intercept form. It is suitable for students in Grades 8-10.

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