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Slope Vocabulary
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Horizontal line
zero slope
0/run
Vertical line
undefined slope
rise/0
Slope
rise/run
the measure of the steepness of a line
Point-Slope Form
y -
y
_{1}
=
m
(x
- x
_{1}
)
m
is the slope of the line
(x
_{1}
,y
_{1}
) are the coordinates of the point the line goes through
Slope-Intercept Form
y =
m
x +
b
m
is the slope of the line
b
is the y-intercept
Standard Form of a Linear Equations
Ax + By = C
Slope
is not given by this form directly
.
You must solve the equation for y =,
then m = -A/B.
Slope Formula
y
_{2}
- y
_{1}
=
m
x
_{2 }
- x
_{1}
This is the formula to find the slope of a line given two points.
Parallel lines
Parallel lines are two lines that never intersect.
Their
slopes
are
equal
.
Perpendicular Lines
Perpendicular lines are two lines that intersect at right angles.
Their
slopes
are
opposite reciprocals
of each other.
The
product
of their slopes equals
-1
.
What is the slope of y = -3x + 4?
m = -3
What is the slope of x = 5?
Undefined slope
The line is vertical.
What is the slope of a line parallel to
y = 2x - 7?
m = 2
The slopes are the same.
What is the slope of
4x + 3y = 12?
m = -4/3
The equation is y = -4/3 x + 4
What is the slope of y = -11?
zero
The line is horizontal.
What is the slope of a line with the equation:
y + 4 = 0.5(x + 3)?
m = 0.5
The line goes through (-3, -4).
What is the slope of a line perpendicular to 4x - 3y = 15?
The slope of this line is 4/3, so the
perpendicular slope
is the
opposite reciprocal
:
-3/4
.
What is the slope of a line through
(-2, 4) and (0, -3)?
-3 - 4
=
-7
= m
0 - -2 2
Author
chawkins32
ID
71324
Card Set
Slope Vocabulary
Description
How slope is related to each term.
Updated
2011-03-07T20:25:00Z
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