Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 31
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40Both students used the formula correctly and used the correct point, but only Carmen used the correct slope for a
line that is perpendicular to y =
x + 2. The correct slope is 3 because it is the opposite reciprocal of the slope of
4-4 Parallel and Perpendicular Lines
the original line.
Illustrate how you can determine whether two lines are parallel or perpendicular. Write an
equation for the graph that is parallel and an equation for the graph that is perpendicular to the line shown. Explain
your reasoning
Sample answer: If two equations have the same slope, then the lines are parallel. If the product of their slopes equals
1, then the lines are perpendicular. The graph of
the same slope,
. The graph of
slopes is 1.
Which of the following is an algebraic translation of the following phrase?
5 less than the quotient of a number and 8
Rewrite the phrase so it is easier to translate. The quotient of a number and 8 means a number divided by 8. 5
less than this means 5 is subtracted from this.
a number
minus
five
divided by
eight
5
n
5
So, the correct choice is B.
A line through which two points would be parallel to a line with a slope of
?
(0, 5) and ( 4, 2)
(0, 2) and ( 4, 1)
(0, 0) and (0, 2)
(0, 2) and ( 4, 2)
Page 31
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Find the slope of the points for choice F.
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