Solving Systems by Graphing Techniques

What is the first step in solving a system of equations by graphing?

• Identify the x-intercept

• Calculate the slope

• Write the equations in slope-intercept form

• Find the y-intercept

What type of solution occurs when two lines intersect at one point?

• Infinitely many solutions

• No solution

• One solution

• Parallel lines

If two lines have the same slope but different y-intercepts, what type of solution do they have?

• Infinitely many solutions

• One solution

• Coinciding lines

• No solution

What does it mean if two lines on a graph are parallel?

• They have different slopes

• They intersect at one point

• They never intersect

• They have the same y-intercept

What is the solution to a system of equations if the lines are coinciding?

• Parallel lines

• One solution

• Infinitely many solutions

• No solution

When graphing the equation y = 5x, what is the slope?

• 5

• 0

• 1

• 10

In the story problem, how many milliliters per second is Jude's water balloon filling up?

• 10

• 5

• 15

• 45

In the story problem, what is the initial amount of water in Ian's balloon?

• 0

• 5

• 10

• 45

What is the y-intercept of the equation y = -10x + 45?

• -10

• 0

• 45

• 10

After how many seconds will Jude and Ian's water balloons have the same amount of water?

• 4 seconds

• 3 seconds

• 2 seconds

• 1 second