
Why?
We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:

In general, the formula for calculating the hypotenuse in an isosceles right triangle is 
a - a leg, h - a hypotenuse
Two lines are parallel if they have the same slope but a different y intercept. A line with the same slope and y int as another one will be the exact same
Slope in standard form is -a/b, so your slope is 2/3 and your y int is -3
For example:
y=2/3x+1
Step-by-step explanation:
From your problem statement, I believe the equation will look like this:

The slash means "divided by" -- you should use division to solve this equation.
For division involving exponents with the same base, you can use the following rule:

Subtituting
for
,
for
and
for
, we get the following:

The slope of the line is 6/2 because if you start at the first point you go over 6 in the x direction (right) and then you have to go up in the y direction (up)
<u>Answer</u>
≈ 11.1803398874989485
<u>Detailed Explanation </u>
We will be using the distance formula for this problem

Now, let's input the numbers into the formula.

Solve.
Therefore, the distance between the two points is
≈ 11.1803398874989485