SOLUTION: find the equation of the line parallel to 2x+5y=0 and passing through the mid-point of the line segment joining A(2,7) and B(-4,1)

Algebra ->  Points-lines-and-rays -> SOLUTION: find the equation of the line parallel to 2x+5y=0 and passing through the mid-point of the line segment joining A(2,7) and B(-4,1)      Log On


   

Question 824591: find the equation of the line parallel to 2x+5y=0 and passing through the mid-point of the line segment joining A(2,7) and B(-4,1)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find the equation of the line parallel to 2x+5y=0
put in the slope intercept form:
5y = -2x + 0
y = -2%2F5x
and
passing through the mid-point of the line segment joining A(2,7) and B(-4,1)
Find the mid-point
mp = %28x1%2Bx2%29%2F2, %28y1%2By2%29%2F2
:
mp = %282-4%29%2F2, %287%2B1%29%2F2
mp = -1, 4
:
Find the equation, parallel lines have the same slope
y - y1 = -2%2F5(x - x1)
x = -1; y=4
y - 4 = -2%2F5(x + 1)
using decimals -.4(x + 1)
y = -.4x - .4 + 4
y = -.4x + 3.6 is the equation