Graphing Systems of Equations

Front

What is the solution to a system of equations?

Back

The solution is the point (x, y) where the equations intersect on a graph.

Front

Which equation represents a line with a positive slope?

Back

y = mx + b, where m > 0.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal.

Front

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

Back

It means the lines are parallel and never intersect.

Front

How can you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is the graphical representation of the solution to a system of equations?

Back

The point where the two lines intersect.

Front

What type of slope does the equation y = -3x + 2 have?

Back

Negative slope.

Front

What does it mean if two lines intersect at one point?

Back

The system has one unique solution.

Front

What is the slope of a vertical line?

Back

Undefined slope.

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3.