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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Parallel lines have the same slope but different $y-$intercept. Perpendicular lines have slopes that are opposite reciprocals of one another. Therefore, to determine if the lines are parallel, perpendicular, or neither, we first need to find their slopes using the Slope Formula.

Line | Points | $x_{2}−x_{1}y_{2}−y_{1} $ | Slope | Simplified Slope |
---|---|---|---|---|

$1$ | $(1,0)&(7,4)$ | $7−14−0 $ | $64 $ | $32 $ |

$2$ | $(7,0)&(3,6)$ | $3−76−0 $ | $-46 $ | $-23 $ |

These lines have different slopes so they can't be parallel. We can determine if they are perpendicular by multiplying the slopes.
$32 (-23 )=-1 $
Since the product of the slopes equals $-1,$ the lines are *perpendicular*.