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For each linear equation the procedure is the same:
Suppose the equation is y = mx + c where x and y are the two variables and m and c are two constants.
Set x = 0 so that the equation becomes y = c. Mark the point P = (0, c) on the coordinate plane.
Set y = 0 so the equation becomes 0 = mx + c so that x = -c/m. Mark the point Q = (-m/c, 0) on the plane.
Join PQ with a straight line and extend in both directions.
You may wish to select another value of x (or y), substitute into the equation and solve. This will give the coordinates of a third point, R. The only reason for doing this is that if R is not on the line PQ then you know you have made a mistake.
Repeat for other equations.
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Is this statement true or falseA system of linear equations is a set of two or more equations with the same variables, and the graph of each equation is a line?
true
How can you represent acceleration on a linear graph?
The answer will depend on the variables plotted on the graph!
Do linear equations form a line?
Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.
What does a straight line mean on a line graph?
That there is a linear relationship between the dependent and independent variables
What is the graph of a linear equation in two variables?
straight line
Is this statement true or false A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line?
The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.
What are the linear systems?
A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
Is this statement true or falseA system of linear equations is a set of two or more equations with the same variables, and the graph of each equation is a line?
true
Why is linear equations called linear equations?
Because its linear and the equation is a problem to solve
What are ways to represent linear equations?
One of the most common ways to represent linear equations is to use constants. You can also represent linear equations by drawing a graph.
How can you represent acceleration on a linear graph?
The answer will depend on the variables plotted on the graph!
What is the graph of a linear inequality in two variables called?
A bivariate linear inequality.
What similarities and differences do you see between functions and linear equations studied in Ch 3 Are all linear equations functions Is there an instance in which a linear equation is not a funct?
Assuming you work with two variables (like x and y) only: if the graph is a vertical line, e.g. x = 5, then it is not a function. Otherwise it is.
Do linear equations form a line?
Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.
What does a straight line mean on a line graph?
That there is a linear relationship between the dependent and independent variables
Why are linear equations infinite?
When you graph a linear equation, you make a line. A line continues infinitely.
What is the graph of a linear equation in two variables?
straight line
