SOLUTION: i don't understand this: find the equation for the line that passes through the point (4,5)and that is parallel to line with the equation -x+2y=-5

Algebra ->  Linear-equations -> SOLUTION: i don't understand this: find the equation for the line that passes through the point (4,5)and that is parallel to line with the equation -x+2y=-5      Log On


   



Question 424150: i don't understand this:
find the equation for the line that passes through the point (4,5)and that is parallel to line with the equation -x+2y=-5

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution:As we know, when two lines are parallel, their slopes are equal.
The slope of the line: -x+2y=-5 or y=x/2-(5/2) is 1/2.
The point-slope equation of our line is:+y-5=%281%2F2%29%2A%28x-4%29 => 2y-10=x-4 => x-2y=-6.