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# 2.3: Curve Intersection

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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)