1. Find the missing coordinate in the ordered pair
Warm UP
Find the missing coordinate in the ordered pair
(-1, b) if it is a solution to the equation
5x – 3y = 10

2. Warm UP
Find the missing coordinate in the equation 3x + by = -7 if the ordered pair (-1, 4) is a solution to the equation

3. Definition of Symmetry
Symmetric with respect to
the y-axis when (x, y) is ON the graph (-x, y) is also ON the graph.
the x-axis when (x, y) is ON the graph (x, -y) is also ON the graph.
the origin when (x, y) is ON the graph (-x, -y) is also ON the graph.

4. The graph if an equation is symmetric with respect to the
TESTS for Symmetry
The graph if an equation is symmetric with respect to the
y-axis if replacing x with –x yields an equivalent equation .
x-axis if replacing the y with –y yields an equivalent equation.
origin if replacing x with –x and y with –y yields an equivalent equation

5. The Equation of a Circle
Let (h, k) be the center point on the circle. The distance from the center to the circle (the radius) is
√(x-h)²+ (y – k)² = r
When you square both sides you obtain the equation of a circle

6. The Equation of a Circle
The Standard Form of the equation of a circle is
(x-h)²+ (y – k)² = r²
Where (h, k) is the center of the circle and r is the radius of the circle.

7. The Equation of a Circle
The General Form of the equation of a circle is
Ax² +Ay²+ Dx + Ey + F = 0

8. The Equation of a Circle

9. The Equation of a Circle

10. The Equation of a Circle

11. The Equation of a Circle

12. The Equation of a Circle

13. The Equation of a Circle