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 two lines to intersect on a graph?

Back

It means that the two equations have a common solution, represented by the point of intersection.

Front

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

Back

By graphing both equations and identifying the point where they intersect.

Front

What is the solution to the system of equations y = 2x and y = 3x + 1?

Back

(-1, -2)

Front

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

Back

It means there is no solution, as the lines never intersect.

Front

What is the solution to the system of equations y = x + 2 and y = x - 1?

Back

(1, 3)

Front

What is an infinite number of solutions in a system of equations?

Back

It occurs when the two equations represent the same line.

Front

What is the graphical representation of the equation y = 2x + 3?

Back

A straight line with a slope of 2 and a y-intercept of 3.

Front

How do you determine the slope of a line from its equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What is the y-intercept of the equation y = -x + 4?

Back

4