2x - 2y = -4
-3x -3y = 0
_____________________
-1x - 5y = -4
Answer:
The distance is
or
.
Step-by-step explanation:
Slope of parallel: 2
Slope of perpendicular: -1/2
Pick a point for y =2x + 7. For example (0,7)
Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).
Distance formula 
Insert (0,7) and (4,5)
= 
He used distributive property
4 to the 1st is 4
4 to the 2nd is 16
4 to the 3rd is 64
<span>4 to the 4th is 256</span>
You can verify this by plugging the numbers into the Pythagorean theorem,

, where c is the hypotenuse (the longest side, in this case 53).
So it would be:

The equation is true.
2809 = 2809