Algebra

Find the slope and y- intercept of a line by writing the equation in slope- intercept form.Hint: Convert the given equation form into the slope-intercept form as deemed necessary:
a. y=4-2/3 x
b. 3x+7y-10=0
c. y-4=2x
d. 2y-10=2x

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  1. What is your given equation?

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  2. If a, b, c and d are not answers but questions then:

    Slope-intercept form of a straight line is:

    y = m x + b

    m is the slope

    b is the y intercept

    a.

    y = 4 - 2 / 3 x

    y = - 2 / 3 x + 4

    slope = - 2 / 3 , y - intercept = 4

    b.

    3 x + 7 y - 10 = 0

    Subtract 3 x to both sides

    7 y - 10 = - 3 x

    Add 10 to both sides

    7 y = - 3 x + 10

    Divide both sides by 7

    y = - 3 / 7 x + 10 / 7

    slope = - 3 / 7 , y - intercept = 10 / 7

    c.

    y - 4 = 2 x

    Add 4 to both sides

    y = 2 x + 4

    slope = 2 , y - intercept = 4

    d.

    2 y - 10 = 2 x

    Add 10 to both sides

    2 y = 2 x + 10

    Divide both sides by 2

    y = x + 5

    slope = 1 , y - intercept = 5

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