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How do I draw the lines y = -x + 4 and y = -x - 4 on a graph?

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

Okay, Ntokozo. I will guide you on how to draw the lines on the graph paper you provided.

  1. Draw the first line, y=−x+4y = -x + 4.

    • Locate the point $(0, 4)$ on the y-axis. This is 4 units up from the origin.
    • Locate the point $(4, 0)$ on the x-axis. This is 4 units to the right from the origin.
    • Using a ruler, draw a straight line that passes through these two points. Extend the line across the graph paper.
  2. Draw the second line, y=−x−4y = -x - 4.

    • Locate the point (0,−4)(0, -4) on the y-axis. This is 4 units down from the origin.
    • Locate the point (−4,0)(-4, 0) on the x-axis. This is 4 units to the left from the origin.
    • Using a ruler, draw a straight line that passes through these two points. Extend the line across the graph paper.

    You will see two parallel lines on your graph paper, both sloping downwards from left to right.

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