Linear Equations in Slope Intercepts

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

If a system of linear equations has one solution, what does this mean about its slopes and y - intercept?

• Equal Slopes and Equal y-interceps

• Equal Slopes but Not Equal y-intercepts

• Not Equal Slopes and Either Equal or Not Equal y-intercepts

• None of the above

What type of system is being illustrated by the graph?

• Consistent but Independent

• Consistent and Dependent

• Inconsistent

• Independent

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

Which statement correctly describes the graph?

• The lines are parallel because they have different slopes.

• The lines are NOT parallel because they have different y-intercepts.

• The lines are parallel since they have the same slope and different y-intercepts.

• The lines are perpendicular.

Parallel Lines have equations with equal slopes and different y-intercepts.  TRUE OR FALSE

• TRUE

• FALSE

Given the equations below determine if they are parallel or not.  y = 4x - 2 and   y = 5 + 4x

• Yes, They are parallel

• No, They are not parallel

Are the following equations parallel or not? HINT: Solve the second equation for y so that it is in y=mx + b form. y = 2x - 5 and 4x + 2y = 10

• Yes, they are parallel

• No, they are not parallel

A second linear equation is graphed next to the equation y = 5x + 10. Which of the following could represent the slope and y-intercept of the line if the 2 lines are parallel?

• m = 10, y-int: (0, 5)

• m = 5, y-int: (0, 10)

• m = 5, y-int: (0, 4)

• m = 2, y-int: (0, 5)

Find the slope and y - intercept

y = -1 + 3x

• slope: 3 y-intercept: -1

• slope: -1 y-intercept: 3

• slope: 3x y-intercept: 1

• slope: -1 y-intercept: 3x