Step-by-step explanation:
A line can be translated over to form a line. Since the line has the same slope, the only thing different is y intercept. Since a Translation is a rigid transformation, they perseve distance. So this will be true for all lines.
Key Concept: The distance between two parallel lines and is the difference in y intercepts.
10. The y intercept is 7 and -2
So the distance is
[tex]7 - ( - 2) = 9[/tex]
or
[tex] - 2 - 7 = - 9[/tex]
Rember Distance is a scalar, so it is positve.
So we take absolute value of both answer
[tex] |9| = 9[/tex]
[tex] | - 9| = 9[/tex]
So the answer for 10 is 9.
11. The distance is 3 because |4-1|=3 or |1-4|=3 so the distance is 3.
12. The distance is 2
13.The distance is 8.