Anonymous
Anonymous asked in Education & ReferenceHomework Help · 2 weeks ago

Help- Find the equation of the line containing (1,4) and 3,-2) in slope intercept form.?

2 Answers

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  • 2 weeks ago
    Best Answer

    (x₁, y₁) = (1, 4)

    (x₂, y₂) = (3, -2)

    m = slope

    = rise / run

    = (change in y) / (change in x)

    = (y₂ - y₁) / (x₂ - x₁)

    = (-2 - 4) / (3 - 1)

    = -6 / 2

    = -3

    Use that slope and either of the given points in the point-slope form of an equation for a line. I'll use point (x₁, y₁) = (1, 4) :

    y - y₁ = m(x - x₁)

    y - 4 = -3(x - 1)

    y - 4 = -3x + 3

    y = -3x + 7

    Graph:

    https://www.desmos.com/calculator/xr7bakvrke

  • David
    Lv 7
    2 weeks ago

    Points: (1, 4) and (3, -2)

    Slope: -3 

    Equation: y = -3x + 7

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