Solving Systems of Equations by Graphing

Front

What is the solution to a systems of equations?

Back

The point or points where they intersect, what the lines have in common, either a single point, infinite number of points or no points. (ALL OF THE ABOVE)

Tags

CCSS.8.EE.C.8B

Front

What is the y-intercept of a graph?

Back

The y-coordinate of the point where the graph intersects the y-axis.

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have no points in common, meaning there is no solution to the system.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines are coincident in a system of equations?

Back

They lie on top of each other, meaning there are infinitely many solutions.

Tags

CCSS.8.EE.C.8A

Front

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

Back

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

Tags

CCSS.8.EE.C.8B

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of the line, calculated as the rise over run.

Tags

CCSS.8.EE.B.5

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers and A is non-negative.

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations; if both equations are true, it is a solution.

Front

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

Back

The lines intersect at a single point.

Tags

CCSS.8.EE.C.8A