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

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

Options:

Correct Answer: y = 2x - 1

Solution:

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

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

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

Step 1: Identify the slope and the point. The slope is 2, 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, y1 = 2, x1 = 1, and m = 2. So, it becomes: y - 2 = 2(x - 1).
Step 4: Simplify the equation. Start by distributing the 2 on the right side: y - 2 = 2x - 2.
Step 5: Add 2 to both sides to isolate y: y = 2x - 2 + 2.
Step 6: Simplify the right side: y = 2x - 1.
Step 7: The final equation of the line is y = 2x - 1.

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