slope the slope of a line (m) is the ratio of the vertical change (rise) to the horizontal change...
TRANSCRIPT
![Page 1: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/1.jpg)
Slope
The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points.
![Page 2: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/2.jpg)
Diagram & Symbol
![Page 3: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/3.jpg)
Slope between 2 points
1. Find 2 points (x, y) that are on the line.
2. Use the slope formula to solve for m:
12
12
xx
yy
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Slope-intercept form
An equation of a NON-vertical line:
𝒚=𝒎𝒙+𝒃Slope value
y-intercept value
![Page 5: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/5.jpg)
PRACTICE!!!
Write the slope-intercept form of the equation for:slope = 3, y-intercept = 6slope = ½ , y-intercept = -5slope = -2/3 , y-intercept = 10
![Page 6: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/6.jpg)
Point-Slope form
An equation of a non-vertical line with the value of a point & a slope value is:
)( 11 xxmyy
Slope value y-coordinate x-coordinate
![Page 7: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/7.jpg)
PRACTICE!!!
Write the point-slope form of the equation for:Slope=2/3, goes through (-2, -6)Slope=-3, goes through (4, -1)Slope=7/12, goes through (5, -8)
![Page 8: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/8.jpg)
How to write the point-slope equation between 2 points
1. Find the slope between the 2 points
2. Use the point-slope form to find the line
3. Write the new equation!
12
12
xx
yym
)( 11 xxmyy
![Page 9: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/9.jpg)
Horizontal & Vertical Lines
Horizontal: y=1 (any number)
Vertical: x=1 (any number)
![Page 10: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/10.jpg)
)5(7
41
)5(4
)3(3
13
xy
xy
xy
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How to graph a slope-intercept equation
1. Plot the y-intercept point (0, y)
2. Count up/down the rise
3. Count left/right the run
4. Repeat for 2 additional points.
5. Connect the points with a line.
![Page 12: Slope The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points](https://reader036.vdocuments.us/reader036/viewer/2022062408/56649ef05503460f94c0021f/html5/thumbnails/12.jpg)
6
2
43
12
1
2
x
y
xy
xy
xy
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Find the slope of line b
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Find the slope of line a
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Slope directions