Question

I need help with Kahn academy

Answer 1

A

Explanation:

So we have the two equations (in point-slope form):

`y-3=2(x-3)\text{ and}\\y+5=2(x+1)`

Now, note that the slope of the two equations are the same. The slope is 2.

Therefore, we can be certain that these are parallel lines since parallel lines have the same slope.

Therefore, they are also not intersecting lines.

Eliminate C and D.

Let's expand the equations:

`y-3=2x-6\\y+5=2x+2`

Add 3 to both sides for the first. Subtract 3 for the second:

`y=2x-3\\y=2x-3`

So, we can see that the two equations are exactly the same.

Therefore, these the same line.

Our answer is A.

And we're done!