Download Systems of Equations

Unit 3: Coordinate
Geometry
LESSON: SYSTEMS OF EQUATIONS
Systems of Equations
There are many ways to solve a system of equations; three ways are:
Graphing
Substitution
Elimination
Solving Systems of Equations by Graphing
Solving Systems of Equations by Graphing
Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Solving Systems of Equations by Elimination
A triangle has vertex coordinates of 𝐴 −6, 5 ; 𝐵 9, 10 ; &
𝐶 3, −4 .
 Graph the triangle
 Determine the equations of the lines containing the sides
 Determine the equations of the lines containing the
altitudes (An altitude is a line through a vertex and is
perpendicular to the opposite side)
 Solve a system using two altitude equations to find the
orthocenter
 Verify that the orthocenter coordinates satisfy the
remaining altitude equation