A function represented by the equation y=1/3x + 4 is a graph on a coordinate plane. What will happen to the line if the slope is changed to

Question

A function represented by the equation y=1/3x + 4 is a graph on a coordinate plane. What will happen to the line if the slope is changed to 2/3?

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Tài Đức 4 years 2021-08-27T12:24:10+00:00 1 Answers 33 views 0

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  1. thnahdat
    0
    2021-08-27T12:25:20+00:00
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    Answer:

    Graph of the new function will be vertically stretched by 2 units.

    Step-by-step explanation:

    A linear function is represented by the equation, y = \frac{1}{3}x+ 4

    This function has the slope = \frac{1}{3} and y-intercept = 4

    If this function is stretched vertically by ‘k’ the the equation of the new function will be,

    y = a(\frac{1}{3})x+ 4

    y = \frac{a}{3}x+4 ———(1)

    If the slope of this equation is changed to \frac{2}{3},

    New equation of the function will be,

    y = \frac{2}{3}x+4 ———(2)

    Comparing equations (1) and (2),

    a = 2

    Therefore, graph of the new function will be stretched vertically by 2 units.

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