Change the equation to slope intercept form and identify the slope and y intercept -8x+2y=6

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Change the equation to slope intercept form and identify the slope and y intercept -8x+2y=6

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  1. Emma
    0
    2021-09-10T05:57:23+00:00

    Answer:

    y = 4x + 3

    Step-by-step explanation:

    We are given an equation of a line: -8x+2y=6 and we are to change it to slope intercept form.

    The standard slope intercept form of an equation of a line is:

    y=mx+c

    So changing the given equation to this form.

    -8x+2y=6

    2y= 6+8x

    y= \frac{6}{2} +\frac{8x}{2}

    y=3+4x

    y=4x+3

    y = 4x + 3 is the slope intercept form of -8x + 2y = 6 where 4 is the slope and 3 is the y-intercept.

  2. Emma
    0
    2021-09-10T05:58:03+00:00

    The answer is:

    y=4x+3

    The slope is: 4

    The y-intercept is: 3

    The explanation is shown below:

    1. The slope intercept form of the linear equation is:

    y=mx+b

    Where m is the slope and b is the y-intercept.

    2. Therefore, keeping the information above on mind, you must solve for y, as following:

    -8x+2y=6\\y=\frac{8x+6}{2}\\y=4x+3

    Where:

    m=4\\b=3

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