The slope of the line joining points A(3, –2) and B (x, 4) is 2. What is the value of x? Option 1: 1 Option 2: −1 Option 3: 6 Option 4: −6

Answer: 6. Solution: Slope = (y_2 - y_1)/(x_2 - x_1) = (4 - (-2))/(x - 3) = 6/(x-3). Setting this equal to 2 gives x - 3 = 3, so x = 6.

Geometry

Miscellaneous

Easy

The slope of the line joining points A(3, –2) and B (x, 4) is 2. What is the value of x?

−1

−6

✅ Correct Option: 3

Slope $= \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - (-2)}{x - 3} = \dfrac{6}{x-3}$ .

Setting this equal to $2$ gives $x - 3 = 3$ , so $x = 6$ .

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