Mathematics

Question

What is the equation of a line that goes through (2,5) and (-2,3)?

1 Answer

  • First, we need to find the slope.
    m = [tex] \frac{ x_{2} - x_{1} }{ y_{2} - y_{1} } [/tex]
    m = [tex] \frac{2-(-2)}{3-5} [/tex]
    m = [tex] \frac{4}{-2} [/tex]
    m = -2

    Next, write the standard line equation:
    y = mx + b
    Now fill in what you know (pick a coordinate point, it does not matter):
    5 = -2(2) + b
    Simplify to solve for b:
    5 = -4 + b
    +4  +4
    9 = b

    Rewrite the equation:
    y = -2x + 9
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