SOLUTION: Write the equation of a line that passes through (4,1) and is parallel to 5x+y=2

Question 593457: Write the equation of a line that passes through (4,1) and is parallel to 5x+y=2
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
5 x + 1 y = 2
Find the slope of this line
make y the subject
1 y = -5 x + 2
Divide by 1
y = -5 x + 2
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(4,1)
Find b by plugging the values of m & the point in
y=mx+b
1=-20 +b
b= 21
m= -5
Plug value of the slope and b in y = mx +b
The required equation is y=-5 x +21

m.ananth@hotmail.ca

RELATED QUESTIONS
Write an equation of the line that is parallel to y=5x+4 and passes through the point... (answered by TimothyLamb)

Write an equation of the line that passes through(4,-1) and is parallel to the line... (answered by MathLover1)

write the equation of the line that is parallel to the line y=5x+1 and that passes... (answered by josgarithmetic)

Write the equation of the line that is parallel to y = 2x + 4 and passes through the... (answered by Boreal)

write the equation of a line that passes through (1,-3) and is parallel to the line... (answered by friesr)

write an equation in slope-intercept form for a line that passes through the given point... (answered by tutorcecilia)

write an equation in slope-intercept form for a line that passes through the given point... (answered by MRperkins)

write an equation in slope-intercept form for a line that passes through the given point... (answered by Fombitz)

write an equation in slope-intercept form for a line that passes through the given point... (answered by drk)