Hi,

Using general slope-intercept form for an euation of a line

y = mx + b

line 2x + y = 9   y = -2x + 9  Slope is (-2/1)

Slope of the line perpendicular to it will be: 1/2

y = x/2 + b   using Pt(6,9) to solve for b

9 = (1/2)*6 + b

6 = b 

y = x/2 + 10

 

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