Slopes and Equations

Identify the solution to the system using the graph.

• (0,0)

• (1,1)

• (2,2)

• (3,3)

What are the steps for graphing a line?

• Plot y-intercept
  count slope ratio plot second point
  Draw the line.

• Make a table
  Plot slope
  Draw line

• Plot two points
  Check slope
  Draw line

• Draw line
  Hope it is right

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

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.

Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)

• y = -7/2x + 4

• y = -4x - 7/2

• y = 4x - 7/2

• y = 7/2x + 4

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)

Graph. y = 2/3x - 3

• 
• 
• 
•