Solving Systems by Graphing

How can you identify the point of intersection of two lines when graphing a system of equations?

• Find the coordinates where the two lines intersect on the graph.

• Calculate the average of the two lines

• Draw a circle around the point of intersection

• Count the number of points on each line

If the lines representing a system of equations intersect at the point (3, 4), what is the solution of the system?

• (1, 1)

• (3, 4)

• (5, 2)

• (0, 0)

What is the solution of a system of equations when the lines representing the equations are parallel?

• No solution

• Two solutions

• Infinite solutions

• One solution

When graphing a system of equations, what does it mean if the lines are coincident?

• One solution

• No solution

• Two solutions

• Infinitely many solutions

If the lines representing a system of equations are perpendicular, how many solutions does the system have?

• No solution

• Two solutions

• One solution

• Infinite solutions

If the lines representing a system of equations do not intersect, how many solutions does the system have?

• Infinite solutions

• No solution

• Two solutions

• One solution

How can you determine if a system of equations has one solution by graphing?

• The lines are perpendicular

• The lines are parallel

• The lines intersect at one point.

• The lines do not intersect

What does it mean if the lines representing a system of equations are parallel and have the same y-intercept?

• No solution

• Infinite solutions

• One solution

• The lines intersect at a right angle

What is the solution of a system of equations when the lines representing the equations coincide?

• No solution

• One solution

• Infinitely many solutions

• Two solutions

If the lines representing a system of equations intersect at the point (-2, 5), what is the solution of the system?

• (0, 0)

• (3, 7)

• (-5, 2)

• (-2, 5)