Chapter 8
Definitions:
- Elimination Method- used to solve a system of linear equations using elimination.
- Add or subtract the equations to eliminate one variable.
- Solve the resulting equation for the other variable.
- Substitute the value into either original equation to find the value of the eliminated variable.
- Linear Equations- an equation whose solutions form a straight line on a coordinate plane.
- Ordered Pair- a pair of numbers that can be used to locate a point on a coordinate plane.
- Slope- a measure of the steepness of a line on a graph; the rise divided by the run.
- Slope-Intercept Form- a linear equation written in the form y=mx + b, where m represents the slope and b represents the y-intercept.
- System of Equations- is a set of equations that have the same variables.
- Solution of a System of Equations- is an ordered pair that is the solution of all equations in question.
- Substitution method- used to solve systems of linear equations.
- Solve one of the equations for one of its variables.
- Substitute the expression from step 1 into the other equation and solve for the other variable.
- Substitute the value from step 2 into either original equation and solve to find the value of the variable in step 1.
- X- Axis- the horizontal axis on a coordinate plane.
- X- Intercept- the x-coordinate of the point where the graph of a line crosses the x-axis.
- Y- Axis- the vertical axis on a coordinate plane.
- Y- Intercept- the y-coordinate of the point where the graph of a line crosses the y-axis.