Solving Systems by Graphing

Front

What type of lines result in no solution when you graph a system of equations?

Back

Parallel lines do not intersect, hence they have no solution.

Tags

CCSS.8.EE.C.8A

Front

What type of lines result in one solution when graphing a system of equations?

Back

Intersecting lines meet at a single point, providing one solution.

Tags

CCSS.8.EE.C.8A

Front

What are coinciding lines in the context of systems of equations?

Back

Coinciding lines are lines that lie on top of one another, resulting in infinitely many solutions.

Tags

CCSS.8.EE.C.8A

Front

How do you determine if a system of equations has no solution when graphed?

Back

If the lines are parallel, the system has no solution.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system of equations with one solution?

Back

The lines intersect at a single point.

Tags

CCSS.8.EE.C.8A

Front

How can you solve a system of equations by graphing?

Back

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

Tags

CCSS.8.EE.C.8B

Front

What is the significance of the point of intersection in a system of equations?

Back

The point of intersection represents the solution to the system.

Tags

CCSS.8.EE.C.8B

Front

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

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.