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M111 Chapter 3
Sullivan and Struve
53
Mathematics
Undergraduate 1
06/12/2008

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Term
TERM
Definition
DEFINITION
Term
Which equation of a line is this?
y – y1 = m( x – x1 )
Definition
point-slope equation of a line
Term
What is the standard equation of a line?
Definition
Ax + By = C
Term
What are you probably going to have to do if they give you the coordinates of 2 points?
Definition
calculate the slope
Term
If the give you a point and the slope, which equation of a line should you use?
Definition
point-slope equation of a line
Term
What are lines that go up and down called?
Definition
vertical lines
Term
If a line is slanted, it's equation must have both
Definition
x and y
Term
If an equation has both x and y, it's graph will be
Definition
a slanted line
Term
The graph of x = 5 is what kind of line?
Definition
vertical
Term
The graph of y = 5 is what kind of line?
Definition
horizontal
Term
What is the graph of y = 0?
Definition
the x-axis
Term
What is the graph of x = 0?
Definition
The y-axis
Term
Slope is the
Definition
rise over the run
Term
Slope is delta
Definition
y over delta x
Term
Roofers call slope
Definition
pitch
Term
Highway engineers call slope
Definition
grade
Term
By its nature, slope is a
Definition
fraction
Term
If a slope is 2, think of it as
Definition
2 over 1
Term
To find the equation of a line from 2 points
Definition
First calculate the slope,
then use one of the points and the slope in the point-slope equation.
Term
What is the point-slope equation of a line?
Definition
y – y1 = m( x – x1 )
Term
Which equation of a line is Ax + By = C?
Definition
Standard equation of a line
Term
What is the slope-intercept equation of a line?
Definition
y = mx + b
Term
If the slope is zero, the line is
Definition
horizontal
Term
If the slope is undefined, the line is
Definition
vertical
Term
All liner equations except for x = a are
Definition
functions
Term
The independent variable is always plotted on the
Definition
horizontal axis
Term
The dependent variable is always plotted on the
Definition
vertical axis
Term
A linear equation is the equation of
Definition
a line
Term
To graph a linear inequality in two variables (paint can), which equation of a line should you use?
Definition
slope-intercept y = mx + b
Term
To graph a linear inequality in two variables (paint can), if no extra ink has been used to make an equal sign under the arrow, then
Definition
the line is dashed
Term
To graph a linear inequality in two variables (paint can), if extra ink has been used to make an equal sign under the arrow, then
Definition
the line is solid
Term
To graph a linear inequality in two variables (paint can), if the inequality is y < you shade
Definition
under the line
Term
To graph a linear inequality in two variables (paint can), if the inequality is y > you shade
Definition
above the line
Term
The y-intercepts of parallel lines are
Definition
different
Term
The slopes of parallel lines are
Definition
equal
Term
The slope of perpendicular lines are
Definition
negative reciprocals
Term
What is the slope of a line parallel to a line that has a slope of 5?
Definition
5
Term
What is the slope of a line pperpendicular to a line that has a slope of -2?
Definition
1/2
Term
a horizontal and a vertical line are
Definition
perpendicular
Term
2 horizontal lines are
Definition
parallel
Term
If you are given a point and the slope, which form of the equation of a line should you use
Definition
point-slope
Term
Perpendicular lines intersect at
Definition
right angles
Term
2 points determine a
Definition
line
Term
m = 5 and (2, 4) what equation do you use to get the equation of the line?
Definition
"y - y1 = m(x - x1)
Term
m = 5 and (2, 4) what is x1?
Definition
2
Term
m = 5 and (2, 4) what is y1?
Definition
4
Term
m = 5 and (2, 4) what is the slope?
Definition
5
Term
y = 6x - 3 What is the slope?
Definition
6
Term
y = 6x - 3 What is the y-intercept?
Definition
(0, -3)
Term
y = 6x - 3 What is the y value when the line crosses the y-axis?
Definition
-3
Term
3x + 4y = 12 What's the fastest way to graph this line?
Definition
intercept method
Term
3x + 4y = 12 If x = 0 what is y?
Definition
3
Term
3x + 4y = 12 If y = 0 what is x?
Definition
4
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