SOLUTION: Line s has equation y=2x+2014. Line m has slope −1 and the same x-intercept as line s. a) Find the y-intercept of line "m" b) Write the equation of line "m"

Algebra ->  Graphs -> SOLUTION: Line s has equation y=2x+2014. Line m has slope −1 and the same x-intercept as line s. a) Find the y-intercept of line "m" b) Write the equation of line "m"      Log On


   

Question 953495: Line s has equation y=2x+2014. Line m has slope −1 and the same x-intercept as line s.
a) Find the y-intercept of line "m"
b) Write the equation of line "m"
Answer by MathLover1(20849) About Me  (Show Source):
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Line s
y=2x%2B2014
0=2x%2B2014
2x=-2014
x=-1007
Line m has slope -1 and the same x-intercept as line s
y=-1%2Ax%2Bb
y=-x+-1007
a) Find the y-intercept of line "m"
if x=-1007 then y=0, substitute it and solve for b
0=-1%2A%28-1007%29%2Bb
0=1007%2Bb
b=-1007

b) Write the equation of line "m"
y=-x+-1007