Question 824591
 find the equation of the line parallel to 2x+5y=0
put in the slope intercept form:
5y = -2x + 0
y = {{{-2/5}}}x
 and
 passing through the mid-point of the line segment joining A(2,7) and B(-4,1)
Find the mid-point
mp = {{{(x1+x2)/2}}}, {{{(y1+y2)/2}}}
:
mp = {{{(2-4)/2}}}, {{{(7+1)/2}}}
mp = -1, 4
:
Find the equation, parallel lines have the same slope
y - y1 = {{{-2/5}}}(x - x1)
x = -1; y=4
y - 4 = {{{-2/5}}}(x + 1)
using decimals -.4(x + 1)
y = -.4x - .4 + 4
y = -.4x + 3.6 is the equation