Solving Systems of Equations with Graphing

These flashcards cover key concepts related to solving systems of equations using graphing, including definitions, processes, and special cases.

y=mx+b

Standard form of a linear equation where m is the slope and b is the y-intercept.

Intersection

The point where two lines meet or cross on a graph.

System of Equations

A set of equations with the same variables that are solved together.

When does a system of equations have no solution?

When the lines representing the equations are parallel and never intersect.

What do you call it when two equations represent the same line?

All real numbers are a solution.

Steps to solve a system of equations using graphing

1. Rearrange each equation to y=mx+b form. 2. Graph both lines. 3. Find the intersection point.

What is the solution of a system of equations?

The point where the two lines intersect on a graph.

Special Case: Lines Never Touch

This results in no solution since the lines are parallel.

What is the standard form of a linear equation?

Ax + By = C, where A, B, and C are constants.

Rearranging Equations

The process of manipulating an equation to isolate y in the form y=mx+b.