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# Systems of Linear Eq

What is a linear equation? An algebraic equation such as (y=2x+7) in which the highest degree term in the variable or variables is of the first degree.
How do you determine whether an ordered pair is a solution to a set of equations? By substituting the x value in for x and the y value in for y into both equations. If the ordered pair makes all equations true, it is the solution.
What is the slope-intercept form? y=mx+b
What type of slope do parallel lines have? The same slope.
How many solutions are there for parallel lines? No Solution; Empty Set
How many solutions are there for equations that intersect at a single point? One Solution
How many solutions are there for a set of linear equations that are identical? There are infinitely many solutions
How would you graph this equation x=4 (do not graph) You would draw a vertical line across the x-axis on the number 4
What are the steps for the substitution method? 1. choose one equation to solve for x or y. ( first equation). 2. Substitute the solution for step 1 into the second equation and solve. 3. Use the value found in step 2, and substitute it into the first equation and solve. 4. Check you answer!
How do you enter an ordered pair? (x,y)
What type of slopes do perpendicular lines have? Negative Reciprocals
How can you decide if an equation will make a linear graph? -no exponents higher than 1 -no variables being multiplied together -only two variables -no variables as a denominator
When is substitution the best method to use? When a variable is already isolated, or is easily isolated
When is elimination the best method to use? When the terms are already lined up and the coefficients of one of the terms are the same.
What is the solution to the system? The intersections point
How should a solution be written? As an ordered pair
What is standard form? Ax +By = C
What are the rules of standard form? A, B, C must be integers; A cannot be negative; A, B, C cannot all be 0; A, B, C cannot have a common factor.
Created by: smcgar