2.3: Curve Intersection

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)