What point slope form equation could be produced with the points(-3,-6)and (3,-3)

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What point slope form equation could be produced with the points(-3,-6)and (3,-3)

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Ngọc Hoa 1 week 2021-07-21T13:12:12+00:00 1 Answers 10 views 0

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    2021-07-21T13:13:21+00:00

    Answer:

    y+6=1/2(x+3)

    Step-by-step explanation:

    Hi there!

    We want to find the equation of the line in point-slope form that passes through (-3, -6), and (3, -3)

    Point-slope form is given as y-y_{1}=m(x-x_{1}) where (x_{1}, y_{1}) is a point and m is the slope

    We don’t know the slope of the line, so let’s find it

    The formula for the slope (m) calculated from two points is \frac{y_{2}-y_{1}}{x_{2}-x_{1}}, where (x_{1}, y_{1}) and (x_{2}, y_{2}) are points

    We have two points, but let’s label their values to avoid any confusion

    x_{1}=-3

    y_{1}=-6

    x_{2}=3

    y_{2}=-3

    Now substitute into the formula (remember: the formula has SUBTRACTION)

    m=\frac{-3--6}{3--3}

    simplify

    m=\frac{-3+6}{3+3}

    m=\frac{3}{6}

    m=1/2

    So the slope of the line is 1/2

    Now that we have everything needed for point-slope form (a point and the slope), substitute the values into the formula (remember: the formula has SUBTRACTION)

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

    y–6=1/2(x–3)

    simplify

    y+6=1/2(x+3)

    Hope this helps!

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )