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Mathematics LibreTexts

2.3: Curve Intersection

  • Page ID
    230
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    Intersection of Lines

    Recall that if we want to find the intersection point of two lines, we have two choices: substitution and elimination.

    \[x = 5 - 2(2) = 1.\]

    \[ y = 3.\]

    Intersection of Other Curves

    \[y=-\dfrac{7}{5} \; \text{ or } \; y=4. \]

    We get the points

    \(\left(-\dfrac{24}{5},-\dfrac{7}{5}\right)\) and \((3,4)\).

    \[ (2,\sqrt{7}), (-2,\sqrt{7}), (2,-\sqrt{7}), (-2,-\sqrt{7}).\]

    To find the intersection we just use the intersection function on the graphing calculator.

    alt

    Larry Green (Lake Tahoe Community College)