Answer:
3 / 4
Step-by-step explanation:
Slope: y2 -y1 / x2 - x1
y2 - y1: 7-5: 3
x2 - x1: 1 - (-3) = 1 + 3 = 4
3/ 4 is the slope
Answer: x=4
Steps: (I am assuming your question has a typo in it and by "c" you meant "x")
The rational expression equals zero

only when the numerator equals 0 (the denominator cannot ever be zero):

and that happens only for x=4
Answer:
a. y = x + 3
Step-by-step explanation:
All three ordered pairs satisfy the first equation.
___
If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...
(-1, 2), (0, 3), (1, 4)
That is, the y-values increase (by 1) as the x-values increase (by 1).
All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.
Answer:
11 stories apart
Step-by-step explanation:
We let the "ground" be considered at height = 0
Anything above, is POSITIVE direction
Anything below, is NEGATIVE direction
8 stories are ABOVE, so that would be considered
+8
3 stores are BELOW, so that would be considered
-3
THe difference in height between them is:
8 - (-3) = 8 + 3 = 11
So, that is 11 stories apart (top and bottom)
Answer:
Graph D
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".