SLOPES

By:Yecen

ia AnahiJuanit

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aSsisly

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 .

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

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

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

Category 1 Category 2 Category 3 Category 4

Series 1

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Examples

0

Graph a line with a slope of 1 and a y- intercept

of -4

Cierra Suire

EXAMPLE𝐘=𝐗+𝟒=?

Slope= 1 Y INTERCEPT = +4

Cierra Suire

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

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

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

Slope Video

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