Question

Line a goes through the points (- 3, 4) and (1, 2) . Line b goes through the point (6, 2) and (8, 1) . Are lines a and b parallel, perpendicular, or neither?

Answer 1

Explanation:

(-3,4) (1,2)

difference is (y2 - y1) /( x2 - x1)

-2 / -4

-1/2 is the slope

(6,2) (8,1)

same as the last

-1 / 2

these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.

Answer 2

They are parallel

Explanation:

Find slope of point A

(-3,4), (1,2)

2-4=-2 1-(-3)=4

slope of a= -2/4 or -1/2

Find slope of point B

(6,2), (8,1)

1-2=-1, 8-6=2

slope of b= -1/2

Both have different slopes, and it can't be perpendicular because they have different denominator values.