what is an equation of the line that passes through the points (1,-7) and (-4,8)

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what is an equation of the line that passes through the points (1,-7) and (-4,8)

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Allison 3 weeks 2021-12-27T14:48:29+00:00 1 Answer 0 views 0

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    2021-12-27T14:49:56+00:00

    Equation of the line is 3x + y + 4 = 0

    Step-by-step explanation:

    • Step 1: Given points are (1, -7) and (-4,8)

    ⇒ x1 = 1, x2 = -4, y1 = -7, y2 = 8

    • Step 2: Form equation for the line using (y-y1) = m(x-x1). Find slope m.

    ⇒ m = (y2 – y1)/(x2-x1) = (8 – -7)/(-4 – 1) = 15/-5 = -3

    • Step 3: Substitute the values and form the equation.

    ⇒ y – -7 = -3(x – 1)

    ⇒ y + 7 = -3x + 3

    3x + y + 4 = 0

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45:7+7-4:2-5:5*4+35:2 =? ( )