Systems of equations graphing

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 for a system of equations to have one solution?

Back

It means the graphs of the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What are the possible types of solutions for a system of equations?

Back

One solution, no solution, or infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

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

Back

It means the system has no solution, as the lines never intersect.

Tags

CCSS.8.EE.C.8B

Front

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

Back

By finding the point where the graphs of the equations intersect.

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 indicate if two lines intersect at a point?

Back

The coordinates of the intersection point are the solution to the system.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The slope indicates the steepness and direction of the line.

Tags

CCSS.8.EE.B.5

Front

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

Back

By using the formula (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.