What is the equation of the line with slope 5 that passes through the point (1,

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Question: What is the equation of the line with slope 5 that passes through the point (1, 2)?

Options:

Correct Answer: y = 5x + 1

Solution:

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

What is the equation of the line with slope 5 that passes through the point (1, 2)?

What is the equation of the line with slope 5 that passes through the point (1, 2)?

Step 1: Identify the slope of the line, which is given as 5.
Step 2: Identify the point the line passes through, which is (1, 2). Here, x = 1 and y = 2.
Step 3: Use the point-slope form of the equation of a line, which is y - y1 = m(x - x1).
Step 4: Substitute the values into the point-slope form: y - 2 = 5(x - 1).
Step 5: Simplify the equation. Start by distributing the 5: y - 2 = 5x - 5.
Step 6: Add 2 to both sides to isolate y: y = 5x - 5 + 2.
Step 7: Combine the constants: y = 5x - 3.
Step 8: The final equation of the line is y = 5x - 3.

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