find the distance of the parallel lines: y=-2x+10 and y=-2x-5

Question

geerky42 · Answer

How I would approach this problem:

I will create line that is perpendicular to these lines; maybe $y=\dfrac{1}{2}x$

Then I would find intersection point between $y=\dfrac{1}{2}x$ and $y = -2x+10$
And intersection point between  $y=\dfrac{1}{2}x$ and $y = -2x-5$

Now we have two points. Find the distance between them using distance formula: $d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Lot of works, I know. Sorry, but does that help?

anonymous · Answer

hi sorry but i still dont get it

anonymous · Answer

i already know the formula but how do you find the intersection point?

geerky42 · Answer

By solve for x. 

Just set two equations to be equal to each other.

geerky42 · Answer

So you know what to do?

anonymous · Answer

yeah i think so..anyway ty for your help