LINEAR EQUATIONS:
A Linear Equation is an equation with _______ variables, with a degree of ______ whose graph is a
_________ on the _________________________.
To solve a linear equation means to find the set of ____________________ that make the
equation ___________ and are located on the _______________. There will be
__________________ solutions.
So, how do we find all solutions? By _________________ and ______________________ the
solutions.
GRAPHING TECHNIQUE #1:
USING A TABLE OF VALUES:
GRAPHING TECHNIQUE #2:
FINDING X AND Y INTERCEPT:
DEFINE SLOPE:_______________________________
We can find slope by:
OR:
OR:
EXAMPLE #1:
Find Slope from two points on a graph:
EXAMPLE #2:
Find slope from two points NOT on a graph:
Linear Equations in slope/Intercept Form: ________________________
When a linear equation is in slope/intercept form, the slope will be:
_______________________________ and the y intercept will be :
_________________________
EXAMPLE #3:
Find the slope and the y intercept from a Linear Equation:
EXAMPLE #4:
Find the slope and y intercept when NOT in slope/intercept form:
Linear Equations in Standard Form: ___________________________
The SLOPE of a vertical line is ____________
The SLOPE of a Horizontal Line is _____________
Linear Equations in Standard Form: ___________________________
SOLVING SYSTEMS OF LINEAR EQUATIONS:
To solve a system of Linear Equations, we are looking for a ________________ that is a solution
to ________ equations. It is sometimes referred to as
______________________________________________.
EXAMPLE #5:
EXAMPLE #6:
So, Lines with the same ______________ will be _________________, therefore the solution to
the system I __________________