What is the equation that represents the line that passes through the point (6,-3) and has a slope of 1/2

Question

What is the equation that represents the line that passes through the point (6,-3) and has a slope of 1/2

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Ariana 1 week 2021-09-10T11:25:31+00:00 2 Answers 0

Answers ( )

    0
    2021-09-10T11:26:34+00:00

    Answer: 2y = x - 12

    Step-by-step explanation:

    The formula for calculating the equation of line when a point and slope is given is :

    y-y_{1}=m(x-x_{1})

    x_{1}=6

    y_{1}=-3

    m=\frac{1}{2}

    substituting into the formula , we have

    y-(-3)=\frac{1}{2}(x-6)

    y+3=\frac{1}{2}(x-6)

    2(y+3) = x - 6

    2y + 6 = x - 6

    subtract 6 from both sides

    2y - x = -6-6

    2y - x = -12

    it could also be written as :

    2y = x - 12

    0
    2021-09-10T11:27:13+00:00

    Answer:

    y=1/2x-6

    Step-by-step explanation:

    Use y=mx+b to substitute the slope for m and (6, -3) for y and x to find b.

    -3=1/2(6)+b

    -3=3+b

    b=-6

    The equation is y=1/2x-6

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