SOLUTION: Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the
Algebra.Com
Question 583549: Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slope-intercept form. (c) Graph both of these lines on the same axes Please show all of your work.
y = -4x + 2, (5, 4)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
PARALLEL
4 x + y = 2
Find the slope of this line
make y the subject
y = -4 x + 2
Compare this equation with y=mx+b
slope m = -4
The slope of a line parallel to the above line will be the same
The slope of the required line will be -4
m= -4 ,point ( 5 , 4 )
Find b by plugging the values of m & the point in
y=mx+b
4 = -20 + b
b= 24
m= -4
Plug value of the slope and b in y = mx +b
The required equation is y=-4x +24
PERPENDICULAR
4 x + y = 2
Find the slope of this line
y = -4 x + 2
Compare this equation with y=mx+b,
m= slope & b= y intercept
slope m = -4
The slope of a line perpendicular to the above line will be the negative reciprocal= 1/4
m1*m2=-1
m= 1/4 ,point ( 5 , 4 )
Find b by plugging the values of m & the point in
y=mx+b
4 = 5/ 4 + b
b= 11/4
m= 1/4
The required equation is y = 1/ 4 x+11/ 4
m.ananth@hotmail.ca
RELATED QUESTIONS
Find (a)the equation of the line that is parallel to the given line and includes the... (answered by solver91311)
For the line and given point, find the equation of a line that is parallel to the line... (answered by Fombitz)
For each line and given point, find the equation of a line that is parallel to the line... (answered by Fombitz)
The equation of a line is given below. Find the slope of a line that is A. parallel to... (answered by Earlsdon)
Write the equation of a line that contains the given point and is parallel to the given... (answered by Alan3354)
Write an equation for a line that is a) parallel and b) perpendicular to the given line... (answered by robertb)
Write an equation of a line that contains the given point and is parallel to the given... (answered by stanbon)
(8,-5);-5x-4y=3
Write an equation of a line that contains the given point and is... (answered by Cintchr)
{{{ (8,0) y=1/2x+5 }}}
I'm asking to write an equation of a line that contains th... (answered by Fermat)