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11 March, 03:02

What is the slope-intercept form for each equation in this system? Compare the slopes and y-intercepts to describe the graph of the system. 3x - 4y = 28 4x + 10y = 20 A) y = 3 4 x - 7; y = - 2 5 x + 2; one line B) y = - 3 4 x - 7; y = - 2 5 x + 2; parallel lines Eliminate C) y = 3 4 x - 7; y = 2 5 x + 2; intersecting lines D) y = 3 4 x - 7; y = - 2 5 x + 2; intersecting lines

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  1. 11 March, 03:21
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    3x - 4y = 28

    4x + 10y = 20

    First we rewrite the system of equations:

    Equation 1:

    3x - 4y = 28

    3x - 28 = 4y

    (3/4) x - 7 = y

    Equation 2:

    4x + 10y = 20

    10y = 20 - 4x

    y = 2 - (2/5) x

    We have then:

    y = (3/4) x - 7

    y = - (2/5) x + 2

    One line has a positive slope and the other line has a negative slope.

    Thus, both lines are connected.

    Answer:

    D) y = 3/4 x - 7; y = - 2/5 x + 2; intersecting lines
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