Write the Equation of the line that has a slope of 3/4 and passes through the point (-6,8)

Question

Write the Equation of the line that has a slope of 3/4 and passes through the point (-6,8)

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Huyền Thanh 7 months 2021-07-23T09:05:03+00:00 1 Answers 3 views 0

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    0
    2021-07-23T09:06:12+00:00

    Answer:

    \boxed{4y - 3x = 50}

    .

    Step-by-step explanation:

    User the form below

    \boxed{\boxed{y-y_1 = m(x - x_1)}}

    Where

    • m is a slope
    • (x_1,~y_1) is point of the line

    .

    So, the equation is

    m = \frac{3}{4}

    (-6,~8)\to x_1 = -6~~and~~y_1 = 8

    .

    y-y_1 = m(x - x_1)

    y - 8 = \frac{3}{4} (x - (-6))

    4(y - 8) = 3(x + 6)

    4y - 32 = 3x + 18

    4y - 3x = 18 + 32

    4y - 3x = 50

    .

    Happy to help 🙂

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