Question 1187696: Find the equation of the line which is parallel to the line 2y + x=3 and passes through the midpoint of (-2,3)and (5,4)
Found 3 solutions by josgarithmetic, MathLover1, MathTherapy:Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website! Slope of the given and the required line is .
Midpoint of the two given points is (3/2, 7/2).
How those, is omitted here.
If you continue with point-slope form, then , and you do what you need from here.
an equation of the line is:
where is a slope and is y-intercept
if the line is parallel to the line , means the line will have same slope
find a slope of
......solve for => slope
so far, equation is
if the line passes through the midpoint of (,)and (,), we need to find midpoint = (,)= (,)
use midpoint to calculate
and your line is