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Please find the x-intercept and y-intercept from these

Mathematics

ScanSolve AI Answer

Answer

(0, -2)
(3, 0)
(0, 0)
Graph of y = x

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Key points of y = x
Pointxy
x-intercept00

Step-by-step solution

6 steps

Here are the x-intercepts and y-intercepts for each equation:

For the equation y=−2y = -2:

  1. Find the x-intercept.

    To find the x-intercept, set y=0y=0.

    0=−20 = -2

    This is a false statement, which means the line y=−2y=-2 never crosses the x-axis.

    • The x-intercept does not exist.
  2. Find the y-intercept.

    To find the y-intercept, set x=0x=0.
    The equation y=−2y=-2 does not depend on xx. Therefore, when x=0x=0, yy is still −2-2.

    • The y-intercept is (0,−2)\boxed{(0, -2)}.

    For the equation x=3x = 3:

  3. Find the x-intercept.

    To find the x-intercept, set y=0y=0.
    The equation x=3x=3 does not depend on yy. Therefore, when y=0y=0, xx is still 3.

    • The x-intercept is (3,0)\boxed{(3, 0)}.
  4. Find the y-intercept.

    To find the y-intercept, set x=0x=0.

    0=30 = 3

    This is a false statement, which means the line x=3x=3 never crosses the y-axis.

    • The y-intercept does not exist.

    For the equation y=xy = x:

  5. Find the x-intercept.

    To find the x-intercept, set y=0y=0.

    0=x0 = x
    • The x-intercept is (0,0)\boxed{(0, 0)}.
  6. Find the y-intercept.

    To find the y-intercept, set x=0x=0.

    y=0y = 0
    • The y-intercept is (0,0)\boxed{(0, 0)}.
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