Systems Of Equations by 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 if two lines are parallel in a system of equations?

Back

They have no solution because they never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect on a graph.

Tags

CCSS.8.EE.C.8B

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two lines are the same line?

Back

The system has infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the slope of a line?

Back

The steepness of the line, calculated as the rise over run.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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.

Front

How do you graph a linear equation?

Back

Find the y-intercept, use the slope to find another point, and draw the line.

Front

What is the graphical representation of the equation y = mx + b?

Back

A straight line with slope m and y-intercept b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3