ANSWER
(2,-2)
(10,-10)
(2,-9)
(7,-10)
EXPLANATION
The given point is (2,-10)
This point is in the fourth quadrant.
To be able to use the number line to find the distance between this point , (2,-10) and another point in the fourth quadrant, the second point must have the same x-coordinate with this point or the same y-coordinate with this point.
These points are:
(2,-2)
(10,-10)
(2,-9)
(7,-10)
The answer is four because there's one line that is placed on the origin which makes it no solution because there's not supposed to be a line on the origin and number 1 is a solution because there are neither lines plotted on the origin and has parallel lines
This is incorrect
-a = b
a + c = d
b + c = d is incorrect because it says a + c and not -a + c.
If you multiply the first line with -1 then you would get a = -b
So the final line would actually be -b+c=d
Coolio
alright, so the disatnce formula is

solve for y in the equation given on top
2x+y-10=0
y=10-2x
ok
so (x1,y1)=(0,0), the first point
(x2,y2)=(x,10-2x)
so subsitute to get




find the miniumum
we only need to minimize what is under the square root so
take the derivitive of 5x²-40x+100
that is 10x-40
it is 0 at x=4
when x<4, the derivitive is negative
when x>4, the derivitive is positve
goes from negative to positive
so it is a minimum
at x=4
find y
y=10-2x
y=10-2(4)
y=10-8
y=2
(4,2)
find min distance






the point, P, is (4,2) and the minimum distance is 2√5