Which pair of lines are parallel? Select all that apply.
A. y=3−2xy=2x−3
B. y=2x−1y−2x=8
C. y−4x=6y+4x=−6
D. y=−3x+1y+4x=x−1
To determine whether two lines are parallel, we need to compare their slopes. If the slopes are equal, the lines are parallel.
Let's start by putting the equations of the lines in slope-intercept form (y = mx + b), where m represents the slope.
A. y = 3 - 2x, rearranging gives y = -2x + 3, the slope of this line is -2.
B. y = 2x - 1, the slope of this line is 2.
C. y - 4x = 6, rearranging gives y = 4x + 6, the slope of this line is 4.
D. y = -3x + 1, the slope of this line is -3.
Comparing the slopes:
A and D have slopes -2 and -3, which are not equal. So A and D are not parallel.
B and C have slopes 2 and 4, which are not equal. So B and C are not parallel.
Therefore, none of the pairs of lines listed are parallel.
Which pair of lines are parallel? Select all that apply.
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Do you mean?
A. y=3−2x
y=2x−3
B. y=2x−1
y−2x=8
C. y−4x=6
y+4x=−6
D. y=−3x+1
y+4x=x−1
if so then write as
A.
y=-2x + 3 slope = -2
y=+2x−3 slope = +2
B.
y=2x−1 slope = +2
y=2x+8 slope = +2
C.
y=4 x +6 slope = 4
y=-4x - 6 slope = -4
D.
y=−3x+1 slope = -3
y= -3x−1 slope = -3