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How do you know if two line segments are parallel?
 
A. Their slopes have reciprocals
B. The slope of one is the negative of the slope of the other
C. Their slopes are negative reciprocals
D. Their slopes are equal

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Mary Ramoy
Mary RamoyLv10
22 Oct 2020
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Related questions

Which of the following situations would give you a system of equations that have at least 2 solutions?
Two lines are parallel and have different y­-intercepts.
Two lines have the same slope and both pass through the origin.
Two lines are perpendicular and have the same y-intercept.
Two lines have negative slopes and different y­-intercepts. 

In this exercise, we find a formula for the angle formed by two lines in a coordinate plane. 

(a) If is a line in the plane and is the angle formed by the line and the -axis as shown in the figure, show that the slope of the line is given by 

(b) Let and be two nonparallel lines in the plane with slopes and , respectively. Let be the acute angle formed by the two lines (see the following figure). Show that 

(c) Find the acute angle formed by the two lines

and  

(d) Show that if two lines are perpendicular, then the slope of one is the negative reciprocal of the slope of the other. [Hint: First find an expression for .]

A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes.

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(c) Use a graph of the function to estimate the slope of the tangent line at P. (This slope represents the rate at which the water is flowing from the tank after 15 minutes.)

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