Plot point C with coordinates (−2, 2) on grid above. (b) Write down the equation of line AB

Question

ScanSolve AI Tutor · Accepted Answer

a) To plot point C with coordinates (−2, 2): Step 1: Start at the origin (0,0). Move 2 units to the left along the x-axis (because the x-coordinate is −2). Step 2: From that position, move 2 units up parallel to the y-axis (because the y-coordinate is 2). Mark this point as C. b) To write down the equation of line AB: Step 1: Identify the coordinates of points A and B from the graph. Point A is (−4, 4). Point B is (4, 4). Step 2: Observe the y-coordinates of points A and B. Both are 4. This means the line is a horizontal line. Step 3: The equation of a horizontal line is y = k, where k is the constant y-coordinate. The equation of line AB is y = 4.

Plot point C with coordinates (-2, 2) on grid above. (b) Write down the equation of line AB

Answer

Step-by-step solution

Part a· 2 steps

Start at the origin $(0,0)$.

From that position, move 2 units up parallel to the y-axis (because the y-coordinate is 2).

Part b· 3 steps
$y = 4$

Identify the coordinates of points A and B from the graph.

Observe the y-coordinates of points A and B.

The equation of a horizontal line is $y = k$ , where $k$ is the constant y-coordinate.

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