Answer:
m= 
Step-by-step explanation:
In order to get your you can do it 2 ways: 1). 
which is how far up you go (rise) over how far left or right you go (run). 2). 
which is pick two values and you subtract your second pair from your first pair. You get the same answer either way. In this case, the slope is 1 over 3 or 1/3.
Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
The formula of a distance between two points:
Answer:
Step-by-step explanation:
7x + 14 = 14 x + 7
-7x = -7
x = 1 (one solution)
~~~~~~~~~~~~~~~~~
5 x + 8 = 8 + 5 x
0 =0 (infinite solutions)
~~~~~~~~~~~~~~~~
9x = 9 x + 5 17
0 = 517 (no solution)
