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Use slopes and y-intercepts to determine if the lines are parallel:

y=1and y=-5

x=8and x=-6

Short Answer

Expert verified

鈸 The given lines are parallel.

鈸 The given lines are parallel.

Step by step solution

01

Step 1. Given Information  

Pair of lines:

y=1and y=-5

x=8and x=-6

02

Step 2. Required to find   

Use slopes and y-intercepts to determine if the lines are parallel.

03

Step 3. Convert the equations into slope and y-intercept form and Compare the slopes and y-intercepts to determine the parallelism 

鈸 We recognize right away from the equations that these are horizontal lines, and so we know their slopes are both 0. Since the horizontal lines cross the y-axis at y=1and at y=-5, we know the y-intercepts are (0,1)and (0,-5). The lines have the same slope and different y-intercepts and so they are parallel.

鈸 We recognize right away from the equations that these are vertical lines, and so we know their slopes are undefined. Since the vertical lines cross the x-axis at x=8and x=-6, we know the y-intercepts are (8,0)and (-6,0). The lines are vertical and have different x-intercepts and so they are parallel.

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