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22 Cards in this Set
- Front
- Back
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What is a point on a line?
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ordered pair
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What is an ordered pair?
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(x1,y1) that can be plotted on a graph
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What is the standard form for a linear equation of two variables?
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Ax + By = C
where A,B,C are real numbers and where A and B are not both equal to zero e.g. -3x + 1y = 2 --> y = 3x + 2; |
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What is a straight line?
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the graph of a linear equation in two variables ex: y = 3x - 2
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What is a y intercept?
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the value of y when x is zero
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What is a x intercept?
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the value of x when y is zero
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What is the equation of a horizontal line?
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y = k
where k is a real number |
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What is the equation of a vertical line?
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x = k
where k is a real number note: a vertical line is not a function |
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What is the slope of a line?
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m = change in y / change in x
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What do you need to calculate the slope of a line?
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2 ordered pairs: (x1,y1) & ( x2, y2)
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What is the formula for the slope of a line?
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m = ( y2 - y1 ) / ( x2 - x1 )
for order pairs (x1, y1) & ( x2, y2) |
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What is a slope of a horizontal line?
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0
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What is the slope of a vertical line?
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undefined
(also, a vertical line is not a function) |
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What are the slopes of parallel lines?
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two lines are parallel if they have the same slope
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What is the slope of perpendicular lines?
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2 lines whose slopes have a product of -1
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What is a slope intercept form of a line?
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y = mx + b
where m = slope and b = y intercept |
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What is a point slope form of a line?
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y - y1 = m(x - x1)
where m is the slope and (x1,y1) is any point on the line |
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What is a function?
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A function f(x) has no more than one y for every x in the domain. 'f' is the name of the function and 'x' is the variable in the function.
e.g. f(x) = 2x + 3 |
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What is the domain of a function f?
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The set of all values of x that can produce a value of y.
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What is the domain of
f(x) = 1 / x ? |
all real numbers, except x = 0
(because 1/0 is undefined) |
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What is the range of a function f?
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the set of all values that can be computed for y by using all the values in the domain
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Which way to lines with positive slope go? negative slope go?
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Positive slope lines go up from left to right.
Negative slope lines go down from left to right. Zero slope lines are horizonal (flat). |
