Lesson 19
Slope:

A ratio (fraction) that compares the vertical change
( )
to the
horizontal change
( )
when moving from one point to another

Denoted symbolically by


vertical change
( )
is the difference between the
coordinates

horizontal change
( )
is the difference between the
coordinates
Pointslope form:

an equation for a line passing through a point
(
)
with a given
slope
(
)
(
)
Slopeintercept form:

an equation for a line with a given slope
and a
intercept
( )
;
the result of solving a linear equation for the variable
General form of a linear equation:
Pointslope form is used to find the equation of a line; slopeintercept form
and general form are used to express the equation of a line.
What is needed to find the equation of a line?
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Parallel lines:

two lines which do not intersect and have the same slope
Perpendicular lines:

two lines that intersect at a right angle

the slopes of the lines are the negative reciprocal of each other
(opposite signs, flipped over)
Example 1:
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 Spring '08
 Algebra, Trigonometry, Slope, Absolute Zero, Fahrenheit, Celsius

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