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Problem 8 - Entrance Test

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

Correct: A

The equation of the line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. We are given that the slope is 3, so m = 3. We are also given a point on the line, (1, 2), which we can substitute into the equation to solve for b. This gives 2 = 3(1) + b, which simplifies to 2 = 3 + b. Subtracting 3 from both sides gives b = -1. Therefore, the equation of the line is y = 3x - 1.