Mathematics

Question

A line contains the points (4, 2) and (0, -1). What is the equation of the line? Show your work.

1 Answer

  • Answer:

    [tex]\large\boxed{y=\dfrac{3}{4}x-1}[/tex]

    Step-by-step explanation:

    The slope-intercept form of an equation of a line:

    [tex]y=mx+b[/tex]

    m - slope

    b - y-intercept (0, b)

    We have two points (4, 2) and (0, -1) → b = -1.

    Calculate the slope:

    [tex]m=\dfrac{-1-2}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}[/tex]

    Finally:

    [tex]y=\dfrac{3}{4}x-1[/tex]

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