Understanding Linear Systems Through Intersecting Lines

What is the solution to a system of linear equations called when two lines intersect?

• Coordinate pair

• Intersection point

• Graph cross

• Solution point

How many solutions does a system have if the lines intersect once?

• One solution

• Infinitely many solutions

• Two solutions

• No solution

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

• Positive, negative, or zero solutions

• One, two, or no solutions

• Two, four, or six solutions

• One, no, or infinitely many solutions

How can we verify the solution to a linear system algebraically?

• By substituting the solution into the equations

• By graphing the equations

• By adding the equations

• By multiplying the equations

In a graph, where do you start to plot a line using the equation y = mx + b?

• At the y-intercept

• At the x-intercept

• At the origin

• At the highest point of the graph

What kind of lines never intersect each other?

• Intersecting lines

• Perpendicular lines

• Parallel lines

• Identical lines

What indicates a system of linear equations has no solution?

• The lines overlap completely

• The lines are parallel

• The lines intersect twice

• The lines are perpendicular

How do you adjust an equation to get it into y = mx + b form if it's not already?

• By graphing it differently

• By adding or subtracting

• By changing the variables

• By dividing or multiplying

What does it mean if a linear system has infinitely many solutions?

• The lines intersect at a single point

• The lines never intersect

• The lines are parallel

• The lines overlap completely

What happens to the lines in a linear system with infinitely many solutions?

• They cross at many points

• They are perpendicular

• They never touch

• They are exactly the same