By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.
-
Upload
izaiah-hobson -
Category
Documents
-
view
226 -
download
1
Transcript of By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.
![Page 1: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/1.jpg)
SLOPES
By:Yecen
ia AnahiJuanit
aCierr
aSsisly
![Page 2: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/2.jpg)
Definition Of A Slope
Anahi Perales
The Slope of a line is determined by the
ratio between any two points that lie on
the line. All linear relationships have a
constant rate of change. The slope of
a line is what determines how
steep or flat it looks on a graph .
![Page 3: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/3.jpg)
SLOPE VOCABULARY Linear Equation:
an equation whose graph is a line
Y-Intercept- the y-coordinate of the point where a line crosses the y-axis
Slope-Intercept Form- x=mx+b where m=slope & b=y-intercept
Anahi Perales
![Page 4: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/4.jpg)
GRAPHING LINES IN SLOPE-INTERCEPT
FORMFormula for slope interceptform =
y = mx + b
RATE OF CHANGE & SLOPE
In Algebra, slope is defined as the rise over the run. This is written as a fraction like this
SLOPE=
RISE RUN
Slope Formula:
SSISLY GARCIA
![Page 5: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/5.jpg)
SSISLY GARCIA
SLOPE OF A LINE
If line goes up from LEFT TO RIGHT , it’s called a POSITIVE SLOPE.If line goes from RIGHT TO LEFT , it’s called a NEGATIVE SLOPE.
The rise is how much you rise in the graph . It tells you how much to go up or down.
The run is how much you move to the left or right in the graph
![Page 6: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/6.jpg)
Category 1 Category 2 Category 3 Category 4
Series 1
Series 2
Series 3
Series 1Series 2Series 3
Examples
0
Graph a line with a slope of 1 and a y- intercept
of -4
Cierra Suire
![Page 7: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/7.jpg)
EXAMPLE𝐘=𝐗+𝟒=?
Slope= 1 Y INTERCEPT = +4
Cierra Suire
![Page 8: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/8.jpg)
RULES ON HOW TO GRAPH SLOPE
The slope of a line is the ratio of the change in y over the change in x.
Simply put, find the difference of both the y and x coordinates and
place them in a ratio. Pick two points on the line. Because you are using two sets of ordered
pairs both having x and y values, a subscript must be used to
distinguish between the two values.Juanita Lozano
![Page 9: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/9.jpg)
Juanita Lozano
EXAMPLE OF SLOPE INTERCEPT
y=5x+3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and a y-intercept of 3 . y= −2x + 6 represents the equation of a line with a slope of −2 and a y-intercept of 6 .
In general slope intercept formula is y=mx+b.*m-slope of a line*b- the y-intercept
![Page 10: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/10.jpg)
Word problem for slope
Yecenia Hernandez
The average lifespan of American women has been tracked, and the model for the data is y = 0.2t + 73, where t = 0 corresponds to 1960. Explain the meaning of the slope and y-intercept.
What was the slope? It is m = 0.2 because it increase by 1 in the input variable t (that is for every year that it increases) the value of the output y would increase by 0.2
![Page 11: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/11.jpg)
![Page 12: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/12.jpg)
Slope Video
![Page 13: By: Yecenia Anahi Juanita Cierra Ssisly. Anahi Perales.](https://reader030.fdocuments.us/reader030/viewer/2022020715/551b86c7550346d6338b59a3/html5/thumbnails/13.jpg)
REFERENCEShttp://www.mathwords.com/s/slope_intercept_equation_of_a_line.htm
http://www.algebra-class.com/calculating-slope.html
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/slope-of-a-line
http://www.xtranormal.com/xnmm/landing/
http://www.purplemath.com/modules/slope.htm