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The problem asks for the equation of a line with slope 2 that passes through the point (1, 4).

To solve this, we can use the **point-slope form** of a line, which is given by:
\[
y - y_1 = m(x - x_1)
\]
Where:
- \( m \) is the slope (in this case, 2),
- \( (x_1, y_1) \) is the given point (1, 4).

Substituting the values into the formula:
\[
y - 4 = 2(x - 1)
\]
This matches the second option presented: \( y - 4 = 2(x - 1) \).

So, the correct equation is **\( y - 4 = 2(x - 1) \)**.

Would you like more details or explanations on any part of this process?

Here are five related questions for practice:
1. What is the equation of a line with slope -3 passing through the point (2, 5)?
2. How do you convert the point-slope form to slope-intercept form?
3. Find the equation of a line passing through the points (3, 6) and (5, 10).
4. What is the slope of a line parallel to \( y = 2x + 3 \)?
5. How can you find the slope of a line given two points?

**Tip:** The point-slope form is very useful for finding equations of lines quickly when a point and slope are given.

Select the equation of the line with slope 2 that passes through the point (1, 4).

Find the equation of a line with slope 2 that passes through the point (1, 4) using the point-slope form formula y - y₁ = m(x - x₁). Learn how to apply this formula step-by-step in this algebra problem, suitable for students in Grades 8-10.

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