Solving Systems by Graphing

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations by graphing?

Back

Solving a system of equations by graphing involves plotting the equations on a coordinate plane and identifying the point(s) where the lines intersect.

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the set of values for the variables that satisfy all equations in the system simultaneously.

Front

How do you identify the variables in a word problem involving a system of equations?

Back

Identify the quantities that change or are being compared in the problem. These quantities will be represented by variables.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane, where each point on the line represents a solution to the equation.

Front

What does it mean if two lines intersect at a point on a graph?

Back

If two lines intersect at a point, it means that the coordinates of that point are the solution to the system of equations represented by the lines.

Front

What is the significance of parallel lines in a system of equations?

Back

Parallel lines indicate that there is no solution to the system of equations, as the lines never intersect.

Front

What does it mean if two lines are coincident?

Back

If two lines are coincident, they lie on top of each other, indicating that there are infinitely many solutions to the system of equations.

Front

How can you determine the solution to a system of equations graphically?

Back

You can determine the solution by finding the point where the two lines intersect on the graph.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.