SOLUTION: Write the equation of the line through P(3, -5) and parallel to x+y =3 in slope intercept form
Algebra.Com
Question 585204: Write the equation of the line through P(3, -5) and parallel to x+y =3 in slope intercept form
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
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 ( 3 , -5 )
Find b by plugging the values of m & the point in
y=mx+b
-5 = -3 + b
b= -2
m= -1
Plug value of the slope and b in y = mx +b
The required equation is y =-x-2
m.ananth@hotmail.ca
RELATED QUESTIONS
Find the equation of the line passing through the point P(2, - 1) and parallel to the... (answered by Alan3354,ikleyn)
P(3, 2), 2x − y = 5
Write the equation of the line that passes through the given... (answered by lwsshak3)
write an equation in slope-intercept form for the line that satisfies each set of... (answered by mathchemprofessor)
3.Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + (answered by nyc_function)
3.Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + (answered by ewatrrr)
write an equation in slope intercept form for the line that passes through (0,5) and is... (answered by mananth,math_tutor2020,josgarithmetic,MathTherapy)
Line lpasses through (1,-5) and line pis the graph of y-2=-3(x+6) If lis parallel to... (answered by ewatrrr)
Write the equation of the line in slope-intercept form passing through (-2, 3) and... (answered by macston)
write the equation of the line through (-p, q ) that is parallel to the line -2x+y=12 in (answered by checkley71,josmiceli)