Systems of equations graphing

Front

What is a system of equations?

Back

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

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.

Front

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

Back

One solution, no solution, or infinitely many solutions.

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.

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.

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.

Front

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

Back

The slope indicates the steepness and direction of the line.

Front

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

Back

By using the formula (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.