Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the...
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![Page 1: Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.](https://reader036.fdocuments.net/reader036/viewer/2022083005/56649f285503460f94c40069/html5/thumbnails/1.jpg)
Equations of Lines
Standard Form: cbyax
Slope Intercept Form: bmxy
where m is the slope and b is the y-intercept
![Page 2: Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.](https://reader036.fdocuments.net/reader036/viewer/2022083005/56649f285503460f94c40069/html5/thumbnails/2.jpg)
Slopes of Lines
Given the points (x1, y1) and (x2, y2) on a line, its slope
is 12
12
xx
yym
![Page 3: Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.](https://reader036.fdocuments.net/reader036/viewer/2022083005/56649f285503460f94c40069/html5/thumbnails/3.jpg)
If the slope is positive the line is increasing:
If the slope is negative the line is decreasing:
Slopes of Lines
![Page 4: Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.](https://reader036.fdocuments.net/reader036/viewer/2022083005/56649f285503460f94c40069/html5/thumbnails/4.jpg)
Slopes of Lines
If the slope is zero the line is horizontal:
If the slope is undefined the line is vertical:
![Page 5: Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.](https://reader036.fdocuments.net/reader036/viewer/2022083005/56649f285503460f94c40069/html5/thumbnails/5.jpg)
Slopes of Lines
21 mm
21
1
mm
If two lines are parallel their slopes are equal.
If two lines are perpendicular their slopes are negative reciprocals.
![Page 6: Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.](https://reader036.fdocuments.net/reader036/viewer/2022083005/56649f285503460f94c40069/html5/thumbnails/6.jpg)
Graphing Lines
The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 and solving for x.
The y-intercept is the point where the line crosses the y-axis, found by setting x = 0.
![Page 7: Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.](https://reader036.fdocuments.net/reader036/viewer/2022083005/56649f285503460f94c40069/html5/thumbnails/7.jpg)