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find the equation in slope intercept form of the line that is the perpendicular...
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(Level 1) Associate Educator, Expert, Newton
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The slope of the line through (-3,4) and (3,-8) is
To get a line perpendicular to that, we need the negative reciprocal of
`-2/1` , which is `1/2`
So, our line will have slope 1/2
We want to bisect the line segment, so we need to find its midpoint. We do that by taking the average of the x-values, and the average of the y-values:
`(-3+3)/2 = 0` , `(4-8)/2=-2`
Thus, we want our line to go through the point (0,-2)
We have a slope, and a point, so the equation of our line (in point-slope form) is:
`y+2 = (1/2)(x-0)`
In slope-intercept form, this is:
The graph looks like:
Posted by mlehuzzah on January 29, 2013 at 4:51 PM (Answer #1)
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