What is the equation of the line that passes through the point (2, 3) and has a

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Question: What is the equation of the line that passes through the point (2, 3) and has a slope of -1?

Options:

Correct Answer: y = -x + 5

Solution:

Using point-slope form: y - 3 = -1(x - 2) => y = -x + 5.

What is the equation of the line that passes through the point (2, 3) and has a slope of -1?

What is the equation of the line that passes through the point (2, 3) and has a slope of -1?

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

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