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.
Larry Green (Lake Tahoe Community College)