SOLUTION: Write an equation in standard form for the line described.
Through (7,9), perpendicular to 5x+y=4
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Question 669459: Write an equation in standard form for the line described.
Through (7,9), perpendicular to 5x+y=4
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
5 x + 1 y = 4
Find the slope of this line
1 y = -5 x + 4
Divide by 1
y = -5 x + 4
Compare this equation with y=mx+b, m= slope & b= y intercept
slope m = -5
The slope of a line perpendicular to the above line will be the negative reciprocal 1/5
Because m1*m2 =-1
The slope of the required line will be 1/5
m= 1/5 ,point ( 7 , 9 )
Find b by plugging the values of m & the point in
y=mx+b
9 = 7/ 5 + b
b= 38/5
m= 1/5
The required equation is y = 1/ 5 x + 38/ 5
m.ananth@hotmail.ca
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