Determining the Number of Solutions in Module 6

What are the three types of solutions that a system of equations can have?

• One solution, two solutions, infinite solutions

• No solution, two solutions, infinite solutions

• One solution, no solution, two solutions

• One solution, no solution, infinite solutions

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

• Infinite solutions

• No solution

• Two solutions

• One solution

What must you do when two lines intersect at one point?

• State the point of intersection

• Only mention that there is one solution

• Ignore the y-intercepts

• State the slopes only

If two lines have different slopes and different y-intercepts, how many solutions do they have?

• Infinite solutions

• Two solutions

• No solution

• One solution

What does it mean if two lines have the same slope and the same y-intercept?

• They are parallel lines

• They intersect at one point

• They are the same line

• They have no solution

How do you convert an equation to slope-intercept form?

• Divide each term by the coefficient of y

• Add the coefficient of y to both sides

• Multiply each term by the coefficient of y

• Subtract the coefficient of y from both sides

What is the slope of the line represented by the equation y = 2/3x + 5?

• 2/3

• -2/3

• -5

• 5

If two lines have the same slope but different y-intercepts, what can be concluded about the lines?

• They have two solutions

• They intersect at one point

• They are parallel lines

• They are the same line

In a real-world problem, if two paths have different slopes, what does it imply?

• The paths are the same

• The paths intersect at one point

• The paths are parallel

• The paths have no solution

What is the first step in finding the slope between two points?

• Multiply the x-values

• Subtract the y-values

• Add the y-values

• Divide the x-values