Finding the slope of a line edmodo
Transcript of Finding the slope of a line edmodo
POD 7 Jan• Create a slope Circle Map
Slope
Definitions of Slope
• The tilt, inclination or steepness of a line
• The ratio of vertical change (rise) to horizontal change (run).
• The change in y (rise) over the change in x (run)
Tilt or Inclination
Vertical ChangeHorizontal Change
This ratio is also known as
Rise
Run
How many points do you need to draw a line?
• One
• Two
• Three
Graph (3,2) and (-1,-1)
Draw a line through the points.
Now that we have our line lets find its slope.
Remember we are finding the following ratio:Vertical or Rise
Horizontal Run
Vertical Change
or the Rise
3
Horizontal Changeor the Run
4
3
Vertical Rise Horizontal Run
3
4
Find the slope of the following line.
The slope is…
1
2
Find the slope of the line.
The slope is….
-3
Find the slope of these lines.
The slope is…
• Black line 3
• Red Line 1
• Blue Line -1/2
Find the slope of these lines
The slope is…
• Orange line 0
• Green Line Undefined
Slope InterceptReal Life Example 1
• Oranges from Florida cost $2 per pound. Let y represent the total cost and x represent the number of pounds of oranges. Create a table, then write a linear equation to find the total cost.
• Total cost = $2 times the number of pounds• y = 2x
Florida Oranges
• y = 2x• What is the
cost for 2 pounds?
• 10 pounds?
Slope InterceptReal Life Example 2
• Eileen’s limousine service charges a flat fee of $5 plus $10 per hour. Let y represent the total cost and x represent the number of hours. Write a linear equation to find the total cost.
• Total cost = $10 times the number of hours + flat fee
• y = 10x + 5
Eileen’s Limousine Service
• y = 10x + 5• What is the
cost for 1 hour?
• 4 hours?
Intercepts
y-intercept is the point the line meets the y-axis
y-intercept = 5
x-intercept is the point the line meets the x-axis
x-intercept = 7
Slope-Intercept Form
• Slope-intercept form of an equation assigns meaning to each variable.
• y = mx +b• In which m represents slope and b
represents your y-intercept.
Slope-intercept
y = mx + b
Slope y-intercept
Slope-Intercept Form
• To graph this equation first find and plot your y-intercept.
• Use your slope to locate a second point.• Lastly draw a line through your two points.
slope-intercept equation
. .
..
.
y-intercept (b) = -2