SOLUTION: The line,L9,passes through the point (1,-4)and is parallel to the line y + x

SOLUTION: The line,L9,passes through the point (1,-4)and is parallel to the line y + x - 3 = 0, find the equation of L9

Question 1027643: The line,L9,passes through the point (1,-4)and is parallel to the line y + x - 3 = 0, find the equation of L9
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
PARALLEL

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

m.ananth@hotmail.ca

RELATED QUESTIONS
Find the equation of the line that passes through the point (3,-1) and is parallel to the (answered by ikleyn)

find the equation of the line which passes through the point ( -2, 1 ) and is parallel to (answered by Alan3354,MathLover1)

Please help me solve this equation: {{{Find the equation of the line that is parallel to... (answered by ewatrrr,Fombitz)

find the equation of the line that passes through the point(3,10) and is parallel to y =... (answered by Alan3354)

Find the equation of the line that passes through the point (1, -2) and is parallel to... (answered by ankor@dixie-net.com)

Find the equation of the line that passes through the point (1, -3) and is parallel to... (answered by jim_thompson5910)

Find the equation of the line AB which passes through (3, 1) and is parallel to 4(y+6)=x (answered by Alan3354)

Find the equation of the line that passes through the point (2;1) and is parallel to the... (answered by algebrapro18)

Find the equation of the line that passes through the point (3,2) and is parallel to the... (answered by josgarithmetic)