The sketch shows the graph of y=kxay = kx^a. The points A(-2, -0.75) and B(0, -3) lie on the graph.

  1. (a)

    Find the values of kk and aa.

    Answer k =

    a =

  2. (b)

    State the equation of the straight line that is parallel to the x-axis and passes through B.

Power functionsEquation straight line中文
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Worked solution

15(b)

1. Identify the constant y-coordinate for the horizontal line through B.

Point B has coordinates (0,−3)(0,-3).

A straight line parallel to the xx-axis has equation y=cy=c, where cc is the constant yy-coordinate.

Since the line passes through B, c=−3c=-3.

Therefore, the equation is y=−3y=-3.

Answer

y=−3y=-3

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