Find the x- and y- intercepts of the line with the given equation -6x+8y=-36

Question

Find the x- and y- intercepts of the line with the given equation

-6x+8y=-36

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Thu Hương 4 years 2021-09-02T05:59:56+00:00 2 Answers 6 views 0

Answers ( )

  1. mit
    0
    2021-09-02T06:01:00+00:00
    Reply

    Answer:

    x-intercept (6,0)

    y-intercept (0,-4.5)

    Step-by-step explanation:

    the x-intercept will be when y=0

    and the y-intercept will be when x=0

    so

    y=0\\\\-6x+8(0)=-36\\\\-6x=-36\\\\x=6

    so the x intercept will be at (6,0)

    x=0\\\\-6(0)+8y=-36\\\\8y=-36\\\\y=-\frac{9}{2}\\\\y=-4.5

    so the y intercept will be at (0,-4.5)

  2. Nho
    0
    2021-09-02T06:01:39+00:00
    Reply

    Answer:

    Y int at

    (

    0

    ,

    3

    2

    )

    X int at

    (

    3

    ,

    0

    )

    Step-by-step explanation:

    The line is easier to visualize when the equation is in slope-intercept form:

    4

    x

    +

    8

    y

    =

    12

    Divide each side by 4:

    x

    +

    2

    y

    =

    3

    2

    y

    =

    −

    x

    +

    3

    y

    =

    −

    1

    2

    x

    +

    3

    2

    Y-intercept (plug in 0 for x):

    y

    =

    −

    1

    2

    (

    0

    )

    +

    3

    2

    y

    =

    3

    2

    X-intercept (plug in 0 for y):

    0

    =

    −

    1

    2

    x

    +

    3

    2

    −

    3

    2

    =

    −

    1

    2

    x

    x

    =

    3

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