Solving Systems of Equations By Graphing Practice

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is the solution of a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Front

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

Back

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

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.

Front

How do you find the y-intercept of a line from its equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the significance of the point (4, -2) in a system of equations?

Back

It is the solution to the system, meaning it satisfies both equations.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations; if both equations are true, it is a solution.

Front

What does the graph of y = -x + 2 look like?

Back

A straight line with a slope of -1 and a y-intercept of 2.

Front

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

Back

The intersection point(s) of the lines representing the equations.