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.

May 4, 2026Mathematics

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May 4, 2026

Answer

T(0; -2)

Here are the solutions to the Euclidean Geometry problem:

Question 3

Step 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 $y = \frac{1}{2}x - 2$ . Substitute $x=0$ into the equation to find the y-coordinate of T: $y = \frac{1}{2}(0) - 2$ $y = -2$ The coordinates of T are $(0; -2)$ . $\boxed{T(0; -2)}$

Step 2: Calculate the gradient of RT. The coordinates of R are $(-2; 2

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Quick Answer

Question 3 Step 1: Write down the coordinates of T. Point T lies on the y-axis, which means its x-coordinate is 0.

Asked on May 4, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 4, 2026

Here are the solutions to the Euclidean Geometry problem: Question 3 Step 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 = (1)/(2)x - 2. Substitute x=0 into the equation to find the y-coordinate of T: y = (1)/(2)(0) - 2 y = -2 The coordinates of T are (0; -2). T(0; -2) Step 2: Calculate the gradient of RT. The coordinates of R are $(-2; 2