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The equation of line passing through (–1, 1) and perpendicular to 2x + y = 5 is |
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Answer» Answer: x-2y+3=0 Step-by-step explanation: equation of a line passes through a POINT ( X1, y1 ) and it's slope be m. => y-y1 = m (x- x1).....................(1) given since line is perpendicular to the line 2x+y= 5=> y= -2x+5 having slope m1= -2 l=> m×m1= -1=> m(-2)= -1 => m= 1/2 ( x1,y1). = ( -1, 1) substituting the value in (1) y-1= (1/2) [x-(-1) ] y-1= (1/2)(x+1) 2y-2= x+1 x-2y+3= 0 is the eqn of the line. |
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