true or false

Question

if a line has a slope of (5)/(2), then a parallel line would have a slope of (-5)/(2).

true or false

 

Answer 1

False, the definition of parallel lines are lines with equal slopes. Picture a line with a slope of 1/2 and compare it to a line with a slope of -1/2, the lines would cross.

Answer 2

False. Two lines parallel to each other on the xy-plane must have the same slope. The only difference can be their vertical offset or y-intercept.

Answer 3

The answer is False. For lines to be parallel, they have to have the same slope. If you create a graph and chart two equations with the slope being the same, they would be going in the same direction and would never touch.

Answer 4

PARALLEL lines have the same slope.

But, interestingly, PERPENDICULAR lines (lines meeting at right, or 90 degree, angles) have slopes which are the negative reciprocals of each other. So if a line has a slope of 5/2, then any line perpendicular to it would have a slope of -2/5.

Answer 5

False. 

Parallel lines have same slopes.