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Published byChristopher Jarvis
Modified over 2 years ago
Finding The Slope of a Line Jennifer Prince 6/18/03
Slopes are commonly associated with mountains.
The slope we are studying is associated with the graph of a line.
Definitions of Slope The tilt or inclination of a line The ratio of vertical change to horizontal change. The change in y over the change in x
Tilt or Inclination
Vertical Change Horizontal 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 orRise HorizontalRun
Vertical Change or the Rise 3
Horizontal Change or 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 line0 Green LineUndefined
Lets draw a line using slope. What else do you think you need besides the slope in order to draw a line? A point!
If you know the slope and one point on the line you can draw the line. Example: slope is 1/3 and the point (-2,-1)
Now you draw a line. Given: slope is 2/3 and the point is (1,0) Given: slope is –3 and the point is (–2,4) Given: slope is 1 and the point is (2,3)
The graphs are…
Student Activity You will now receive a worksheet. You are to find the slope of a line and draw a line given the slope and a point. Turn the worksheet in when completed.
Change in y over the change in x The formula for finding the slope of a line.
Class Activity Click on the following link for slope practice.practice
Closing Activity You will receive a second worksheet. Given 2 points, find the slope using the slope formula. You will turn in the worksheet.
Horizontal Lines Vertical Lines Lines, Lines, Lines!!! ~
Goal: By the end of the lesson, students will be able to find the slope of a line from a graph.
Lines, Lines, Lines!!! ~ Parallel & Perpendicular Lines Lines, Lines, Lines!!! ~ Parallel & Perpendicular Lines.
Slope Problems. Slope Problem Examples Determine a value for x such that the line through the points has the given slope. Let's use the slope formula.
Lines, Lines, Lines!!! ~ Standard Form Lines, Lines, Lines!!! ~ Standard Form Another equation of the same line.
Stack and Subtract/Rise over Run to find slope notes Absent copy Mon 4/15.
Note Note to browsers This slope lesson is interactive and I have students use graph paper as they follow along This is formulated for the California High.
Warm up 1.Graph the equation of the line using slope & y-intercept 4x – 2y = 10.
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EXAMPLE 1 Write an equation of a line from a graph SOLUTION m 4 – (– 2) 0 – 3 = 6 – 3 = = – 2 STEP 2 Find the y -intercept. The line intersects the y -axis.
Objective The student will be able to: Determine the slope of a line between 2 points, on a graph, and in an equation. Compare the slopes of two different.
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Copyright © 2013, 2009, 2005 Pearson Education, Inc. Section 2.4 Equations of Lines and Linear Models.
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