Anonymous
Anonymous asked in Education & ReferenceHomework Help · 1 month ago

Find an equation for the line with the given properties. Express the equation in slope-intercept form.?

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  • 1 month ago
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    Slope intercept form is

    y = mx + b

    m is the slope

    b is the y-intercept

    -----------------------

    Find the slope

    m = rise/run

    m = ∆y/∆x

    m = (y₂ - y₁) / (x₂ - x₁)

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

    m = 2/1

    m = 2

    ---------------------

    To find "b" plug in m = 2 and either point into the slope intercept formula

    using point (-3, -1)

    y = mx + b

    -1 = 2(-3) + b

    -1 = -6 + b

    b = 5

    -------------------------

    With m = 2 and b = 5 the equation becomes

    y = 2x + 5 <–––––––

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