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The problem asks to find the equation of a line with a given **slope = 3** that passes through the point \((3, 5)\). 

We will use the **point-slope form** of a line, which is:

\[
y - y_1 = m(x - x_1)
\]

Where:
- \(m\) is the slope,
- \((x_1, y_1)\) is the point on the line.

Here:
- \(m = 3\),
- \((x_1, y_1) = (3, 5)\).

Substituting these values into the point-slope form:

\[
y - 5 = 3(x - 3)
\]

Now, simplify the equation:

\[
y - 5 = 3x - 9
\]

Adding 5 to both sides:

\[
y = 3x - 4
\]

Thus, the equation of the line in slope-intercept form is:

\[
y = 3x - 4
\]

Do you need more details or have any further questions?

Here are 5 related questions to expand your understanding:
1. How do you derive the point-slope form of a line from its geometric properties?
2. What is the difference between point-slope and slope-intercept forms of a line?
3. Can you convert this equation into standard form \(Ax + By = C\)?
4. What happens to the line equation if the slope is negative?
5. How would the equation change if the line passed through a different point with the same slope?

**Tip**: The slope of a line measures its steepness and can be calculated as the change in \(y\) divided by the change in \(x\) between two points.

Find an equation for the line with the given properties: Slope = 3, containing the point (3,5).

Learn how to find the equation of a line with a slope of 3 that passes through the point (3,5). This solution explains the point-slope and slope-intercept forms, providing a step-by-step guide for students in Grades 8-10.

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