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    Question

    Find the equation of the line passing through the points P(2, 3) and Q(4, 7).

    A y = 2x + 1 Correct Answer Incorrect Answer
    B y = 2x - 1 Correct Answer Incorrect Answer
    C y = 3x - 3 Correct Answer Incorrect Answer
    D y = x + 1 Correct Answer Incorrect Answer

    Solution

    To find the equation of the line, we first calculate the slope m using the formula: m = (y2 - y1) / (x2 - x1) Substituting the coordinates of points P and Q: x1 = 2, y1 = 3, x2 = 4, y2 = 7: m = (7 - 3) / (4 - 2) = 4 / 2 = 2 Now, using the point-slope form of the equation: y - y1 = m(x - x1) Substituting m, x1, and y1: y - 3 = 2(x - 2) y - 3 = 2x - 4 y = 2x - 1 Thus, the equation of the line is: Correct Answer: b) y = 2x - 1.

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