Question

A. Which two lines are parallel?

b. Which line is perpendicular to Line A ?

Line A; y=3x +6 Line B: y =6-3x
Line C: y=17-x/3 Line D: y= 3x-1/3​


Please I need help!!!!

Answer 1

a) Line D is parallel to line A

b) Line C is perpendicular to line A

Explanation:

Line A has a slope of 3 and y intercept of 6

Line C is perpendicular to A as perpendicular lines have negative reciprocal slopes. Slope of C is -1/3

Line D is parallel to A as parallel lines have identical slopes but different y intercepts. Slope of D is 3 and y intercept is -1/3

Line B mirrors Line A over the y axis. It's slope is the negative of A and it has an identical y intercept.

Answer 2

Explanation:

line A and D are parallel because they have the same koeficient 3=3

line C is perpendicular to line A because

k1*k2=-1

3*(-1/3)=-1

which is a true statement