SOLUTION: what is the equations of the lines that pass through the point (3,3 ) and are parallel to and perpendicular to the line with equation y +5 x=8. Parallel: y= Perpendicular: y=

Question 788773: what is the equations of the lines that pass through the point (3,3 ) and are parallel to and perpendicular to the line with equation y +5 x=8.
Parallel: y=
Perpendicular: y=
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
PERPENDICULAR TO A LINE
5 x + 1 y = 8
Find the slope of this line

1 y = -5 x + 8
Divide by 1
y = -5 x + 8
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 ( 3 , 3 )
Find b by plugging the values of m & the point in
y=mx+b
3 = 3/ 5 + b
b= 12/5
m= 1/5
The required equation is y = 1/ 5 x + 12/ 5

PARALLEL

5 x 1 y = 8
Find the slope of this line
make y the subject
1 y = -5 x + 8
Divide by 1
y = -5 x + 8
Compare this equation with y=mx+b
slope m = -5
The slope of a line parallel to the above line will be the same
The slope of the required line will be -5
m= -5 ,point ( 3 , 3 )
Find b by plugging the values of m & the point in
y=mx+b
3 = -15 + b
b= 18 - 1/4
m= -5 1 3/4
Plug value of the slope and b in y = mx +b
The required equation is y = -5 x + 18

m.ananth@hotmail.ca

RELATED QUESTIONS
Can you find the equations of the lines which pass through the point (0, 4) and are... (answered by ewatrrr)

find the equation of the lines that are parallel and perpendicular to the line 7x+2y=-4... (answered by mananth)

Find the equations of the lines that pass through the point (2,8) and are parallel to... (answered by checkley71)

Write the equations of the lines that pass through the point and are (a) parallel and (b) (answered by lwsshak3)

1-which of the following equations passes through the points (2,4) and (-3,-6)? 2-Given... (answered by stanbon)

Determine whether the lines that pass through the following pairs of points are parallel, (answered by robertb)

Find equations in standard form of the line through point p that are a) parallel and... (answered by stanbon)

For the equation y = 3x + 5 write the equation of the lines in slope intercept form that... (answered by mananth)

Two straight lines pass through the point of intersection of the line 2x+4y=1 and x+3y=2. (answered by josgarithmetic)