Question

1) Are the following lines parallel, perpendicular, or neither?

Line 1: y= -2x
Line 2: 2y = x
Line 3: 4y=2x+4
Select one:
a. Lines 2 & 3 are perpendicular; Line 1 is parallel to Lines 2 and 3.
b. All 3 lines are parallel to each other.
c. All 3 lines are perpendicular to each other.
d. Line 1 is perpendicular to Lines 2 and 3; Lines 2 and 3 are parallel.

2)The line passing through which two points is parallel to y=2x+3? select one:
a. (-4,4) and (1,-6)
b. (-3,10) and (2,0)
c. (-2,-3) and (2,0)
d. (-4,0) and (2,-3)

3)The line passing through which two points is parallel to y= 3\4x+1
Select one:
a. (0,5) and (-4,2)
b. (0,2) and (-4,1)
c. (0,0) and (0,-2)
d. (0,-2) and (-4,-2)

4)The line passing through which two points is parallel to y= 3\4x+1 Select one:
a. (-4,1) and (4,7)
b. (0,4) and (3,0)
c. (0,4) and (3,8)
d. (0,4) and (4,1)

Answer 1

In 1)

Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)

Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)

Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)

If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.

So,
Option D will be correct.