SOLUTION: write the slope intercept equation for the line that pass through (-2,3) and perpendicular to 2x-9y=-12
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Question 651930: write the slope intercept equation for the line that pass through (-2,3) and perpendicular to 2x-9y=-12
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
write the slope intercept equation for the line that pass through (-2,3) and perpendicular to 2x-9y=-12
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equation of line: y=mx+b, m=slope, b=y=intercept
for given line:
2x-9y=-12
9y=2x+12
y=2x/9+12/9
m=2/9
..
for perpendicular line
slope=-9/2 (negative reciprocal of slope of given line)
equation:
y=-9x/2+b
solve for b using coordinates of given point on line (-2,3)
3=-9*-2/2+b
3=9+b
b=-6
equation of perpendicular line:
y=-9x/2-6
see graph below:
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