8.9.3-Develop Graphing a Linear Equation of the Form y = mx + b

Multiple Choice

What type of slope does the graph have?

• Zero
• Undefined
• Negative
• Positive

Multiple Choice

Which Graph is Linear?

• 1st
• 2nd
  2nd
• 3rd
• None

Multiple Choice

The slopes of parallel lines are...

• the same

• opposite

• always different

Multiple Choice

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

• Parallel
• Perpendicular
• Neither

Multiple Choice

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

• Parallel

• Perpendicular

• Neither

Multiple Choice

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

• y=-3
• y=3x
• y=-3x
• x=-3

Multiple Choice

Which graph is non-proportional?

• A

• B

• C

• D

Multiple Choice

Slopes of perpendicular lines are...

• opposite reciprocals.
• opposites.
• the same.

• undefined.

Multiple Choice

Slopes of parallel lines are...

• opposite reciprocals.
• opposites.
• the same.

• undefined.

Multiple Choice

These two lines intersect at _____.

• (4, -2)
• (4, 2)
• (-2, 4) 
• No solution

Match

Match the following graphs to the systems of equations

 

 

  

   

• $$y=\frac{2}{3}x+1$$  

  $$y=\frac{2}{3}x-2$$  

• $$y=-x+7$$   $$y=2x+1$$  

• $$y=-2x+4$$   $$y=-2x+4$$   

Multiple Choice

How do you know if two lines are PARALLEL?

• their slopes are the same

• their slopes are negative reciprocals

• their y-intercepts are the same

• their y-intercepts are negative reciprocals

Multiple Choice

If you graph a system of equations and see PARALLEL LINES, what does this mean about the solution to the system?

• no solution

• one solution

• perpendicular lines

• infinitely many solutions

Multiple Choice

How will you know if a system of equations has ONE SOLUTION?

• the lines will intersect

• the lines will be parallel

• the lines will be the exact same line

• the lines will be curvy

​THINK:
y = mx + b
y-axis slope x-axis y-intercept
which unit? Which unit?

​​THINK:
y = mx + b
y-axis slope x-axis y-intercept
which unit? Which unit?

​What did you do first? Think: starting point...

Then, what did you do?

Multiple Choice

What is the y-intercept?

• (5, 0)

• (-5, 0)

• (0, 5)

• (0, -5)

Multiple Choice

From the equation: y = -2x +6 what is the slope of the line?

• y

• 6

• x

• -2

Multiple Choice

From the equation: y = -2x+6 what is the y-intercept of the line?

• y

• 6

• x

• -2

Multiple Choice

#4 Which graph is correct for y = -¾x + 1?

• A
• B

Multiple Choice

Which graph represents the equation $$y=4x-1$$  

​Think:
Rise/Run, Vertical change/horizontal change
Be sure to include the units for each. What is the y increasing by /what the x-value is increasing by?







Describe the relationship that makes these true based on the way it is worded in the original problem.

​Think: y = mx + b (y-intercept form) rise
y = b So, what is missing? run



Think: y = mx + b (y-intercept form) rise
x = a run





Think: what is your "initial step?"
Then, what do you do?

​Think about the steps we just discussed.
Walk me through each step of graphing this equation on the line. In other words, teach me. Pretend I do not know how. Use good wording to describe the process.