Graphing Systems of Equations

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The coordinates of the intersection point represent the solution to the system of equations.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to a system of equations when the lines are parallel?

Back

There is no solution, as parallel lines never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it indicate if two lines are identical on a graph?

Back

The system of equations has infinitely many solutions.

Tags

CCSS.8.EE.C.8A

Front

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

Back

By finding the point(s) where the lines intersect on the graph.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

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

Back

The two lines intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it goes (positive or negative).

Tags

CCSS.8.EE.B.5

Front

How do you find the slope of a line given two points?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.