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Write an equation of the line containing...

Write an equation of the line containing (-3,2) and perpendicular to y=4x-5.

Text Solution

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The slope of the given line is 4, so the slope of a line perrpendicular to it is `-(1)/(4)`. The desired equation is `y-2=-(1)/(4)(x+3)`.
The distance between two points P and Q whose coordinates are `(x_(1),y_(1)) and (x_(2),y_(2))` is given by the formula
Distance`=sqrt((x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2))`
and the midpoint, M, of the segment `overline(PQ)` has coordinates `((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))`.
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