graphing systems

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

How do you find the intersection point of two lines on a graph?

Back

By solving the system of equations represented by the lines to find the point (x, y) where they meet.

Tags

CCSS.8.EE.C.8B

Front

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

Back

They have no solutions because they never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to a system of linear equations?

Back

The point where the two lines intersect, representing the values of x and y that satisfy both equations.

Tags

CCSS.8.EE.C.8B

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

By substituting the point's coordinates into both equations and checking if both equations are satisfied.

Front

What does it indicate if a system of equations has no solution?

Back

The lines are parallel and do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

Front

What is the meaning of a system of equations having infinitely many solutions?

Back

The two lines are coincident, meaning they lie on top of each other.

Tags

CCSS.8.EE.C.8A