SOLUTION: Write the slope-intercept form of the equation of the line perpendicular to the graph of
y = − 3 x − 7 that passes through 2
(3, –2).

Algebra.Com
Question 699796: Write the slope-intercept form of the equation of the line perpendicular to the graph of
y = − 3 x − 7 that passes through 2
(3, –2).

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
1 y = -3 x -7
Divide by 1
y = -3 x + -7
Compare this equation with y=mx+b, m= slope & b= y intercept
slope m = -3
The slope of a line perpendicular to the above line will be the negative reciprocal 1/3
Because m1*m2 =-1
The slope of the required line will be 1/3
m= 1/3 ,point ( 3 , -2 )
Find b by plugging the values of m & the point in
y=mx+b
-2 = 1 + b
b= -3
m= 1/3
The required equation is y = 1/ 3 x -3
m.ananth@hotmail.ca
RELATED QUESTIONS
Find the point slope form of a line with Slope: −6 that passes through... (answered by josgarithmetic)
Write the equation of the line that passes through (− 5, 7) with slope − 2/5.
(answered by josgarithmetic)
write the slope intercept form of the equation of the line perpendicular to the graph of... (answered by ReadingBoosters)
The equation of line GH is y = 4x − 3. Write an equation of a line perpendicular to (answered by stanbon)
Find the slope of a line perpendicular to the line that has x−intercept −3... (answered by mananth)
Write the equation in slope intercept form of the line perpendicular to the graph
Y=... (answered by mananth)
Write an equation in slope-intercept form of a line that is: Perpendicular to the graph... (answered by brucewill)
Find the equation of the line, in slope-intercept form, that satisfies the given... (answered by MathLover1,josgarithmetic)
Write the slope-intercept form equation of the line with slope − 1 that passes... (answered by ewatrrr)