What is the equation of the line with slope 3 passing through the point (1, 2)?

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Question: What is the equation of the line with slope 3 passing through the point (1, 2)?

Options:

Correct Answer: y = 3x + 1

Solution:

Using point-slope form: y - 2 = 3(x - 1) => y = 3x - 1.

What is the equation of the line with slope 3 passing through the point (1, 2)?

What is the equation of the line with slope 3 passing through the point (1, 2)?

Step 1: Identify the slope and the point. The slope is 3, and the point is (1, 2).
Step 2: Use the point-slope form of the equation of a line, which is: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
Step 3: Substitute the values into the point-slope form. Here, x1 = 1, y1 = 2, and m = 3. So, it becomes: y - 2 = 3(x - 1).
Step 4: Simplify the equation. Distribute the 3 on the right side: y - 2 = 3x - 3.
Step 5: Add 2 to both sides to solve for y: y = 3x - 3 + 2.
Step 6: Combine like terms: y = 3x - 1.

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