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Mathematics 14 Online
OpenStudy (anonymous):

Line BC has an equation of a line y = 2x + 3, and line EF has an equation of a line y = -1/2 x + 4. These two equations represent (5 points) Select one: a. parallel lines because the slopes of the lines are equal b. perpendicular lines because the slopes are opposite reciprocals c. the same line when graphed d. lines that intersect, but not at a right angle

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

to determine if they're parallel, perpendicular, or just intersecting, just look at the slope

OpenStudy (anonymous):

if the slope is the same, then the line is parallel (with the exception of when the y-intercept is the same, then the lines are just overlapping)

OpenStudy (anonymous):

if the two slopes are negative reciprocal of each other, then they will form a right angle (aka perpendicular lines)

OpenStudy (anonymous):

if they're neither one, then they're just intersecting

OpenStudy (anonymous):

so what would it be

OpenStudy (anonymous):

well... is 2x equal to (-1/2)x?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

ok, so the first and third answer is eliminated

OpenStudy (anonymous):

ok ok what

OpenStudy (anonymous):

are they negative reciprocal?

OpenStudy (anonymous):

else can we do to figure out the answer

OpenStudy (anonymous):

B says they are opposite reciprocals

OpenStudy (anonymous):

yea, so are the two slopes negative reciprocal? If they are then, that's your answer; if not, then the last one is

OpenStudy (anonymous):

do you know how to find it?

OpenStudy (anonymous):

So its B

OpenStudy (anonymous):

@nincompoop

OpenStudy (anonymous):

yup

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