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.