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write the equation of a line perpendicular to 3x+2y=6 through (2,-1).

Sagot :

rearrange: 2y = 6 -3x
2y = - 3x + 6
y = -1.5x + 3
Now, substitute, perpendicular lines have the same gradient so:
-1 = -1.5 (2) + c
- 1 = -3 + c
2 = c

equation for new line: y = 1.5x + 2
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