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Two lines are parallel if their slopes are identical. Let's recall the slope-intercept form of a line.
$y=mx+b $
Here, we can identify the slope as the value of $m.$ We will rewrite each equation in this form to find the slopes. Let's start with $A.$
Now we do the same thing for $B$ and $C.$

Line | Slope-intercept form | Slope |
---|---|---|

$A$ | $y=-2x−1$ | $-2$ |

B | $y=-9x+24$ | $-9$ |

C | $y=x+4$ | $1$ |

Now that we've identified the slope of each line, we can see that none of the lines have the same slope, so none of them are parallel.