System of Equations

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

• Intersecting solution

• Solution point

• Coordinate pair

• Intersection point

How many solutions does a system of linear equations have if the lines intersect exactly once?

• No solution

• One solution

• Two solutions

• Infinitely many solutions

What type of lines in a linear system indicate that there is no solution?

• Identical lines

• Parallel lines

• Perpendicular lines

• Intersecting lines

What does a system with infinitely many solutions consist of?

• Two perpendicular lines

• Two parallel lines

• Two intersecting lines

• Two identical overlapping lines

In the example given, what are the coordinates of the solution point for the system with one solution?

• (5/2, 2/5)

• (5, 2)

• (2/5, 5/2)

• (2, 5)

How can you verify the solution to a system of linear equations algebraically?

• By substituting the solution's coordinates into both equations

• By graphing the equations

• By solving for y

• By adding the equations together

What is the first step in graphing a line given in y = mx + b form?

• Finding the slope

• Drawing a parallel line

• Plotting the x-intercept

• Starting at the y-intercept

Why do parallel lines indicate a system of linear equations has no solution?

• Because they have different slopes

• Because they intersect at one point

• Because they never intersect

• Because they intersect at infinitely many points

What must be done to graph a line not initially in y = mx + b form?

• Multiply both sides by the coefficient of y

• Divide both sides by the coefficient of y

• Subtract the coefficient of y from both sides

• Add the coefficient of y to both sides

What indicates that a linear system has infinitely many solutions?

• The equations are identical

• The equations are parallel

• The equations are perpendicular

• The equations are different