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Algebra 18 Online
OpenStudy (anonymous):

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the equation. (-5,2),y=1/2x-3

OpenStudy (solomonzelman):

this is an example of a similar to this problem, if you dont get the example I can work it through with you!

OpenStudy (solomonzelman):

@Dancer0424, lets work this one together in here.

OpenStudy (solomonzelman):

Am I reading the question correctly, the equation is y = 1/2x - 3 and the perpendicular line passes through the point (-5,2) find the equation of that perpendicular line. right?

OpenStudy (anonymous):

yes

OpenStudy (solomonzelman):

Ok, so lets get the perpendicular slope first. Do you know how to get a slope of a perpendicular line?

OpenStudy (anonymous):

Not really

OpenStudy (solomonzelman):

OK, so for a slope perpendicular. Lets say you have slope=a perpendicular slope would be -1/a (in other words multiplicative inverse of a, and then times -1.) what would be a slope of perpendicular line to the one that has a slope of 1/2 ?

OpenStudy (anonymous):

-2/1

OpenStudy (solomonzelman):

yep!

OpenStudy (solomonzelman):

-2/1 is the exact same thing as -2 right? so what we know so far is that it is y=-2x+b |dw:1382749995897:dw| so the b would be the y coordinate on the perpendicular line that corrresponds to the 0 x-axis. let me graph it again......

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