Finding Slope of a Line
Word Problems
Vocabulary
Writing Equations
Random
100
Identify the slope of the following equation.
y = -x + 4
Slope: -1
100
What two things do we need to graph a linear equation?
Slope and y-intercept
100
The slope of a vertical line will always be ___________________.
Undefined
100
Write the equation for the line that passes through these 2 points: (1, -3) and (2, -1)
y=2x-5
100
Select all of the equations whose graph has the same y-intercept.
a) y=3x - 4
b) y= 4x+ 4
c) y=1/2x - 4
d) y=4x - 4
a, c, d
200
Find the slope from graph
Slope= -4/2 which simplifies to -2
200
Peyton's cell phone company charges a sign up fee of $35 for phone service plus $0.50 for each text message. Write the equation that represents this situation.
y = 0.5x +35
200
The slope of a horizontal line will always be ___________________.
Zero
200
Write the equation that passes through these 2 points: (-4, -5) and (-2, -6).
y = -1/2x - 7
200
How do we find the slope in a graph? From two points?
Slope Triangle or Slope Formula
300
Find slope from graph.
slope= 2/3
300
A tuxedo rental service charges a $150 flat fee for a suit plus $50 per each additional day. Write the equation that models the situation.
y = 150 + 50x
300
What does the slope tell us?
-Unit Rate
-Constant Rate of Change
-How much it is increasing or decreasing by each time
300
Write the equations for the table below.
y=3x+1
300
Determine if the graph is proportional or non proportional. Justify your answer.
Proportional because it is a straight line and goes through the origin.
400
Find the slope of the line that includes the following points:
(3, -4) and (-1, 2)
Slope: -6/4 which simplifies to -3/2
400
If Josh pays $15 to sign up for his local gym and gets charged $10 per month, how much will he owe the gym after 5 months?
$65
400
What does linear mean?
Straight line or constant rate of change.
400
Write the equation of the graph below.
y=-3x+2
400
Linear or Non linear? Explain your reasoning.
Non Linear, it does not have a constant rate of change.
500
Find the slope of the line that includes the following points. (-12, 9) (-12, -3)
Undefined
500
If Taylor Swift has 3 cats and gets 2 new cats every year, how many cats will she have after 6 years?
15 cats
500
What's the difference between proportional and non proportional?
Proportional relationships have a constant rate of change (straight line) and goes through the origin. Non Proportional relationships do not have a constant rate of change and/or doesn't go through the origin.
500
A student was trying the graph the equation y=2x -3. What mistake did this student make?
The plotted the y-intercept at 3, instead of -3. They did graph the slope correctly, so they need to move the entire line down 6 units.
500
Write the equation of the line that passes through these 2 points: (-6, 8) and (-7, 9)
y= -x + 2