Answered

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Which pair of liens are perpendicular?y = -8 and y = 2Ox – y = 7 and y = x + 3x = 4 and y = -1O y= -4x + 1 and 8x + 2y = -10

Which Pair Of Liens Are Perpendiculary 8 And Y 2Ox Y 7 And Y X 3x 4 And Y 1O Y 4x 1 And 8x 2y 10 class=

Sagot :

Two lines are parallel if their slopes are the same

Two lines are perpendicular if the products of their slopes = -1

To get the slopes, we can compare the equation of the line to the general equation of a line in slope-intercept form (y=mx+c)

Looking at the options given

Option 1

Not correct

Option 2

[tex]\begin{gathered} x-y=7 \\ y=x-7 \end{gathered}[/tex]

and

[tex]y=x+3[/tex]

The slope of the two lines = 1

hence, Not correct

Option 3

This option is correct because the plot of the two lines on a graph are perpendicular

The plot is shown below

Option 4

[tex]\begin{gathered} y=-4x+1 \\ \text{slope}=\text{ -4} \end{gathered}[/tex]

for

[tex]\begin{gathered} 8x+2y=-10 \\ \text{make y the subject of the formula} \\ 2y=-8x+10 \\ \text{Divide both sides by 2} \\ y=-4x+5 \end{gathered}[/tex]

Hence, the slope is the same.

so the option is not correct

View image TrystenP557007
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