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A line TS has equation y = 1/2x - 2. T is on the y-axis. R is at (-2; 2). Calculate the gradient of RT.

Mathematics

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Answer

T(0;−2)\text{T}(0; -2)

Step-by-step solution

2 steps

Here are the solutions to the Euclidean Geometry problem:

Question 3

  1. Write down the coordinates of T.

    Point T lies on the y-axis, which means its x-coordinate is 0.
    The equation of line TS is given as y=12x−2y = \frac{1}{2}x - 2.
    Substitute x=0x=0 into the equation to find the y-coordinate of T:

    y=12(0)−2y = \frac{1}{2}(0) - 2 y=−2y = -2

    The coordinates of T are (0;−2)(0; -2).

    T(0;−2)\boxed{\text{T}(0; -2)}
  2. Calculate the gradient of RT.

    The coordinates of R are $(-2; 2

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