What is the equation of the line passing through (2, 3) with a slope of 2? (2021

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Question: What is the equation of the line passing through (2, 3) with a slope of 2? (2021)

Options:

Correct Answer: y = 2x + 1

Exam Year: 2021

Solution:

Using point-slope form: y - 3 = 2(x - 2) => y = 2x - 4 + 3 => y = 2x - 1.

What is the equation of the line passing through (2, 3) with a slope of 2? (2021)

What is the equation of the line passing through (2, 3) with a slope of 2? (2021)

Step 1: Identify the point the line passes through, which is (2, 3). Here, x1 = 2 and y1 = 3.
Step 2: Identify the slope of the line, which is given as 2.
Step 3: Use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope.
Step 4: Substitute the values into the point-slope form: y - 3 = 2(x - 2).
Step 5: Simplify the equation. Start by distributing the slope: y - 3 = 2x - 4.
Step 6: Add 3 to both sides to isolate y: y = 2x - 4 + 3.
Step 7: Combine like terms: y = 2x - 1.

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