2.2.2 slope

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Valenzuela National

High School

Advanced Algebra with Trigonometry & Statistics IV

Self Learning Kit

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OBJECTIVES:

Whats

your

strategy?

To scan the different formulas indetermining the slope of a line.

To explain the trend of the eq.

To practice yourself intechniques in solving for theslope of a line

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DISCUSSION:

Let me

teachyou a

lesson

the slope orgradient of a linedescribes itssteepness, incline,or grade.

A higher slope value indicates a steeper incline.Normally described by the ratio of the "rise"divided by the "run" between two points on a line

The slope is defined by m

You can divide the change in height bythe change in horizontal distance to get

the slope.

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FORMULAS in determining the slop

of a line >>>REMEMBER: The formula fails for a vertical line, parallel to the y axis, where the

slope can be taken as infinite, so the slope of a vertical line is considered undefined.Given two points:

or

By slope-intercept form (linear function)

m= slope

b= y intercept

Defined by the linear equation

m=

.

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Let me

teachyou a

lesson

Decreasing: Negative slope

TREND of a function >>>REMEMBER: the trend of a linear function f(x) = mx + b may either be

increasing or decreasing depending upon the slope m of its graph.

Increasing: Positive slope

Graph falls from left to right

Graph rises from left to right

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Other interpretation s of the slope of a lineREMEMBER: Starting from the left end of the line going across to the right is

positive (but going across to the left is negative).Straight across: Zero slope

slope = 0/5 = 0

Straight up & down: Undefined

slope = 3/0 = undefined

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EXAMPLES:

Sample,

You want

?

FIND THE SLOPE OF y = 2x+ 3

FIND THE SLOPE OF (3, 4) & (5, 4)

y=mx+b

y=dependent variable

x=independent variablem=-2

b=3

FIND THE SLOPE OF -12x+y=16y=mx+b

y=12x+16

y=dependent variable

x=independent variablem=12

b=16

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Be

good.

ACTIVITY:INSTRUCTIONS: Answer the following bychoosing the best answer.

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Be

good.

1.) Determine the trend of the

function based on its slope.

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Be

nice.

2.) Find the slope (2,8)and (3,20)

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Be

cool.

3.) Find the slope of the

graph

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Be

smart.

4.) Find the slope of this line

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Be

careful.

5.) What is the name of the

line that has the slope of 3?

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Congratulati

ons,

Agent!

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Congratulati

ons,

Agent!

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Congratulati

ons,

Agent!

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Congratulati

ons,

Agent!

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Very nice. You

answer all the

swags given.

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EPIC FAIL

agent,

Think evenbetter

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EPIC FAIL

agent,

Think evenbetter

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EPIC FAIL

agent,

Think evenbetter

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EPIC FAIL

agent,

Think evenbetter

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EPIC FAIL

agent,

Think evenbetter

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Review

!!!

Decreasing: Negative slope

TREND of a function >>>REMEMBER: the trend of a linear function f(x) = mx + b may either be

increasing or decreasing depending upon the slope m of its graph.

Increasing: Positive slope

Graph falls from left to right

Graph rises from left to right

Straight across: Zero slope

slope = 0/5 = 0

Straight up & down: Undefinedslope = 3/0 = undefined

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Review

!!!




or


m= slope

b= y intercept


m=

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Review

!!!




or


m= slope

b= y intercept


m=

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Review

!!!




or


m= slope

b= y intercept


m=

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Review

!!!

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2.2.2 slope