The denominator by three, that's this line, the first line. Thing as four plus eight, negative three over 12, which Four minus negative eight, so this is equal to negative three, over, this is the same Zero, remember change in Y, negative three minus zero, over four, minus negative eight. The finishing point, so negative three minus Slope one is, let's just say it is, well I'll take this as The points negative one, negative one, and negative two, six. One line passes through the points four and negative three and negative eight, zero. They're perpendicular, or if they are neither. Of lines and figure out if they're parallel, if Now, given this information, let's look at a bunch
Their slopes are gonnaīe the negative inverse of each other. Let's say that yellow line has a slope of M, then this orange line that's perpendicular to the yellow line is going to have a slope I'm not going to prove it for you here, I actually prove it in the linear algebra playlist, but a perpendicular lined slope, let's say this one right here, Let's say this is some line,Ī line that is perpendicular to that, will not only intersect the line, it won't only intersect the line, it will intersect it at a right angle.
On how you wanna view it, they're kind of the opposite. If this moves a certain amount, if this change in Y overĬhange in X is a certain amount this change change in Y overĬhange in X is the same amount. It's not the exact same line, but they have the exact same slope. I'm drawing in magenta, a parallel line might So if those are myĬoordinate axes right there, it's my X-axis, that is my Y-axis, if this is a line that And just as a bit of a review, if you've never seen this before, parallel lines they never intersect. That are neither parallel nor perpendicular. So you have parallel, you have perpendicular, and of course you have lines We're gonna do a couple of examples that deal with
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