SOLUTION: Write the equation of the line that passes through the given point and is perpendicular to the given line. Write the answer in slope-intercept form. P(-9, 7), y + 8x = -19

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line that passes through the given point and is perpendicular to the given line. Write the answer in slope-intercept form. P(-9, 7), y + 8x = -19       Log On


   



Question 572898: Write the equation of the line that passes through the given point and is perpendicular to the given line. Write the answer in slope-intercept form.
P(-9, 7), y + 8x = -19

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
8x +y = -19
Find the slope of this line

y = -8x-19
Compare this equation with y=mx+b, m= slope , & b= y intercept
slope m = -8

The slope of a line perpendicular to the above line will be the negative reciprocal 1/8
m1*m2=-1
The slope of the required line will be 1/8
m= 1/8 ,point ( -9 , 7 )
Find b by plugging the values of m & the point in
y=mx+b
7 = -9/ 8 + b
b= -65/8
m= 1/8
The required equation is y = 1/ 8x-65/ 8
m.ananth@hotmail.ca