Uploaded by Sharon Forst

algebra - linear equations

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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 __________________

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