12/3 - 12/4 Solving Systems by Graphing

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point, which is the solution to the system.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines coincide, meaning they are the same line.

Front

How do you convert an equation into slope-intercept form?

Back

Rearrange the equation to the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Back

The slope is 2.

Front

Back

The y-intercept is -6.

Front

How do you find the solution to a system of equations graphically?

Back

Graph both equations on the same coordinate plane and identify the point of intersection.

Front

What is the x-value of the solution for the system represented by the equations if they intersect at (1, y)?

Back

The x-value of the solution is 1.

Front

Back

y = 2x + 3.