Identify the lines that are parallel.Line 1: y=−5Line 2: 4y−16x=−1Line 3: x=−6Line 4: y+5=4(x+1)

Rui Baldwin

Rui Baldwin

Answered question

2020-10-23

Identify the lines that are parallel.
Line 1: y=5
Line 2: 4y16x=1
Line 3: x=6
Line 4: y+5=4(x+1)

Answer & Explanation

brawnyN

brawnyN

Skilled2020-10-24Added 91 answers

Parallel lines are line that have same slope, where m1=m2. To identify what line are parallel to each other, convert the equation into y=mx+b and get the slope of each equation.
Line 1, y=mx+b
y=0x5 , where the slope of line 1 is m1=0
Line 2, y=mx+b
4y16x=1 , simplifying the equation by multiplying it by 14 will result to y=4x14, where the slope of the line 2 is m2=4
Line 3, x=6 , since the graph of the line 3 is vertical its slope is undefined.
Line 4, y=mx+b
y+5=4(x+1)y=4x4 , where the slope of line 4 is also m4=4. Therefore, based on the slopes of the given equations, we can say that line 2 and line 4 is parallel to each other.

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