logging in or signing up Slope for Algebra 2 lilrunner25 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 674 Category: Education License: All Rights Reserved Like it (2) Dislike it (0) Added: June 06, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... By: Umesh (44 month(s) ago) Oops, by first slide i meant of "Exponentials" lesson by Dev and Deb! Saving..... Post Reply Close Saving..... Edit Comment Close By: Umesh (44 month(s) ago) Nice work creating these, very useful! And funny (first slide!) Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Slope : Slope Phil and Ethan -How to find slope- : -How to find slope- Defined as “Rise over Run” Two simple equations to find slope -Equations- : -Equations- ∆y ∆x y2-y1 x2-x1 -Examples- : -Examples- Data Points: (3, 3) (8, 6) 1) ∆y = (6-3) ∆x = (8-3) 3 5 -Practice- : -Practice- Data Points: (-3, 4) (6, -5) Find the Slope Answer: -1 -Slope Intercept Form- : -Slope Intercept Form- y = mx + b Steps : Steps Find Slope Put the information into the y=mx + b form Remember: m= slope Replace x, y, and m with appropriate data points given. Example : Example Data set: (4, 1) (5, 4) Slope = 3 Find ‘b’ by taking point (4,1). Plug 4 into x, 1 into y and 3 into m The equation should look like 1= 3(4) + b Solve for b b = -11 Identifying m and b in a given equation : Identifying m and b in a given equation If you are given a equation that is not in slope intercept form you need to use functions of math to put the equation into that form Ex. -x + 2y= 12 Add x from each side 2y= x +12 Divide by two on each side of the equation. y= 1/2 x +6 Now your equation is in y= mx+b form. M is the slope b is the y intercept Parallel Lines : Parallel Lines A parallel line must have the same slope as the original equation. They need to have a different y intercept. Ex. Y = 1/2 x + 6 Parallel line is Y= 1/2 x + b where b is less or greater than 6. Common mistakes are forgetting that b can be any number but the original equation Parallel lines : Parallel lines There are also more advance equations such as find the line parallel to 2x-3y = 12 that goes through the point (1,7) The first step is to get your equation into slope intercept form y = 2/3x -4 You know the slope has to be the same but the y intercept has to a certain number because the line must go through (1,7) Plug in for x y and m in the new equation. 7= 2/3(1) + b Then solve. 7/.666= 10.5 b= 10.5 Your new equation is y = 2/3x + 10.5 Perpendicular lines : Perpendicular lines A perpendicular line has a slope that is the opposite reciprocal as the original equation. Ex. ½ and -2 The Y intercept can be any number. Ex. Y = 1/2 x + 6 Perpendicular line is Y= -2x + any number A common mistake is forgetting to change the sign. Perpendicular lines : Perpendicular lines There are also more advance equations for perpendicular lines such as find the slope perpendicular to a line with points at (1,6) and (-2, 3) First step is to find the slope using y/x the slope is 1 Find the opposite reciprocal -1 is the slope You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
Slope for Algebra 2 lilrunner25 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 674 Category: Education License: All Rights Reserved Like it (2) Dislike it (0) Added: June 06, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... By: Umesh (44 month(s) ago) Oops, by first slide i meant of "Exponentials" lesson by Dev and Deb! Saving..... Post Reply Close Saving..... Edit Comment Close By: Umesh (44 month(s) ago) Nice work creating these, very useful! And funny (first slide!) Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Slope : Slope Phil and Ethan -How to find slope- : -How to find slope- Defined as “Rise over Run” Two simple equations to find slope -Equations- : -Equations- ∆y ∆x y2-y1 x2-x1 -Examples- : -Examples- Data Points: (3, 3) (8, 6) 1) ∆y = (6-3) ∆x = (8-3) 3 5 -Practice- : -Practice- Data Points: (-3, 4) (6, -5) Find the Slope Answer: -1 -Slope Intercept Form- : -Slope Intercept Form- y = mx + b Steps : Steps Find Slope Put the information into the y=mx + b form Remember: m= slope Replace x, y, and m with appropriate data points given. Example : Example Data set: (4, 1) (5, 4) Slope = 3 Find ‘b’ by taking point (4,1). Plug 4 into x, 1 into y and 3 into m The equation should look like 1= 3(4) + b Solve for b b = -11 Identifying m and b in a given equation : Identifying m and b in a given equation If you are given a equation that is not in slope intercept form you need to use functions of math to put the equation into that form Ex. -x + 2y= 12 Add x from each side 2y= x +12 Divide by two on each side of the equation. y= 1/2 x +6 Now your equation is in y= mx+b form. M is the slope b is the y intercept Parallel Lines : Parallel Lines A parallel line must have the same slope as the original equation. They need to have a different y intercept. Ex. Y = 1/2 x + 6 Parallel line is Y= 1/2 x + b where b is less or greater than 6. Common mistakes are forgetting that b can be any number but the original equation Parallel lines : Parallel lines There are also more advance equations such as find the line parallel to 2x-3y = 12 that goes through the point (1,7) The first step is to get your equation into slope intercept form y = 2/3x -4 You know the slope has to be the same but the y intercept has to a certain number because the line must go through (1,7) Plug in for x y and m in the new equation. 7= 2/3(1) + b Then solve. 7/.666= 10.5 b= 10.5 Your new equation is y = 2/3x + 10.5 Perpendicular lines : Perpendicular lines A perpendicular line has a slope that is the opposite reciprocal as the original equation. Ex. ½ and -2 The Y intercept can be any number. Ex. Y = 1/2 x + 6 Perpendicular line is Y= -2x + any number A common mistake is forgetting to change the sign. Perpendicular lines : Perpendicular lines There are also more advance equations for perpendicular lines such as find the slope perpendicular to a line with points at (1,6) and (-2, 3) First step is to find the slope using y/x the slope is 1 Find the opposite reciprocal -1 is the slope