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7/29/2019 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!
7/29/2019 2.2.2 slope
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Very nice. You
answer all the
swags given.
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EPIC FAIL
agent,
Think evenbetter
7/29/2019 2.2.2 slope
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EPIC FAIL
agent,
Think evenbetter
7/29/2019 2.2.2 slope
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EPIC FAIL
agent,
Think evenbetter
7/29/2019 2.2.2 slope
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EPIC FAIL
agent,
Think evenbetter
7/29/2019 2.2.2 slope
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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
!!!
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=
7/29/2019 2.2.2 slope
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Review
!!!
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=
7/29/2019 2.2.2 slope
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Review
!!!
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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Review
!!!