SOLUTION: can you please explain the steps write an equation for the line through the point (1,1) and perpendicular to the line 2x+y=9 thank you

Question 361915: can you please explain the steps
write an equation for the line through the point (1,1) and perpendicular to the line 2x+y=9
thank you
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
write an equation for the line through the point (1,1) and perpendicular to the line 2x+y=9
2x+y=9
add -2x
y=-2x+9
compare this with slope m of y = mx+b
m=-2 the slope
slope of perpendicular line = 1/2
...
equation of line
y-y1=1/2(x-x1)
y-1=1/2(x-1)
2(y-1)=x-1
2y-2=x-1
add2
2y=x-1+2
2y=x+1
y=x/2 +1/2 is the line
...

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