section 6-2 slope-intercept form. how to graph a linear equation it must be in the slope –...
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![Page 1: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/1.jpg)
Section 6-2 Slope-Intercept Form
![Page 2: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/2.jpg)
How to Graph a Linear Equation It must be in the slope – intercept
form. Which is:
y = mx + b
slope y-intercept
![Page 3: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/3.jpg)
Y - intercept Is where the
point crosses the y – axis.
When graphing you start your starting point on the y-axis
![Page 4: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/4.jpg)
Graph the equation y = 3x-5
Before you graph you must answer the following: Is it in the form? Y-intercept? Is the slope positive
or negative? What is the slope? Graph?
![Page 5: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/5.jpg)
Graph the equation y = -1/2x +2
Before you graph you must answer the following: Is it in the form? Y-intercept? Is the slope positive
or negative? What is the slope? Graph?
![Page 6: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/6.jpg)
Graph the equation y+5 = 4x
Before you graph you must answer the following: Is it in the form? Y-intercept? Is the slope positive
or negative? What is the slope? Graph?
![Page 7: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/7.jpg)
Write an linear equation for the following: m = 2/3 , b = -5
m = -1/2 b = 0
m = 0 , b = -2
![Page 8: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/8.jpg)
Example: Does the point (8,4) lie on the line
with the equation y = 3/4x - 2
![Page 9: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/9.jpg)
Example – Write an equation for the line
![Page 10: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/10.jpg)
What about slopes of zero? This is special situations!!!
Horizontal Lines
y = 3 (or any number)Lines that are horizontal have a slope of zero. They have "run",
but no "rise". The rise/run formula for slope always yields
zero since rise = 0.y = mx + by = 0x + 3
y = 3This equation also describes what is happening to the y-coordinates on the line. In this case, they are
always 3.
![Page 11: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/11.jpg)
What about slopes of no slope? This is special situations!!!
Vertical Lines
x = -2 (or any number)Lines that are vertical have no slope (it does not exist). They have "rise", but no "run". The
rise/run formula for slope always has a zero denominator and is
undefined.These lines are described by what
is happening to their x-coordinates. In this example, the x-coordinates are always equal to
-2.
![Page 12: Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept](https://reader036.vdocuments.mx/reader036/viewer/2022082818/56649e875503460f94b8a75d/html5/thumbnails/12.jpg)
Homework
Pg320-3212-54 every 4
58-6266, 78a