Question

Write an equation of the line passing through point P(4,0) that is parallel to the line -x + 2y = 12.

Answer 1

arallel lines have the same slope
-x+2y=12
2y=x+12
y=(1/2)x+6
the slope is 1/2
using the point-slope form of a line...
y-y1=m(x-x1) where m is the slope and (x1,y1) is (4,0)
y-0=(1/2)(x-4)
y=(1/2)x-2 is the equation of the line
check: 0=(1/2)(4)-2
0=2-2
0=0

Answer 2

Answer: y= 1/2x-2
___________________
Explanation:

-x+2y=12
2y=12+x
divide both sides by 2
y= 6+ x/2
as they are parallel, therefore, their slopes are equal
hence,
put P(4;0) in the equation to find y intercept( y=kx+b, there b is y intercept)
0= 1/2 * 4+ b
b=-2
hence,
our equation is
y=1/2x-2
Hope it helps :)