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Write the slope intercept equation for the line that passes through (-8,-10) and is perpendicular to -8x- 3y =16

Rosa052

by Rosa052 at March 25, 2011

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Solve your equation for y: y = (-8/3)x - 16/3 -8/3 is the slope of that line.  A line perpendicular to that given line has a negative inverse slope so the line you want has a slope of 3/8. Now write the general slope of a line that passes through (-8, -10) and set that slope = 3/8 (y+10)/ (x+8) = 3/8 Solve in y = mx + b form y+10 = (3/8)(x + 8) = 3x/8 + 3 y = 3x/8 -7 is your line.  It has the right slope and y = -10 when x = -8.  This kind of procedure will solve your other two questions too!

kroo_jteague kroo_jteague March 25, 2011

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Write the equation in the form y=mx+by=-8/3x-16/3THE slope is -8/3So the slope of the perpendicular line is 3/8Then use y-y1=m(x-x1) to find the equation of the perpendicular line.y+10=3/8(x+8)y=3x/8-7

chitra003 chitra003 March 26, 2011

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