For a given function, slope is defined as the change in outputs, or y-values divided by the change in inputs, or x-values. In essence the slope asks "For a given change in x, how much does y change?" or even more simply: "How steep is the graph of this function?". This can be represented mathematically by the formula:
Since we have a table of x,y pairs it's the last form of that equation that will be the most useful to us. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:
We can check this answer by using a different pair, say the last two:
.
As a common sense check: Our y-values get smaller as our x-values get bigger so a negative slope makes sense.
m=-3
Answer:
The distance between the bird houses are 10.26 feet
Step-by-step explanation:
b = base length (of triangle)
h = height of triangle
s = side length of triangle
l = length of rectangle
Answer:
170929
Step-by-step explanation:
To solve this problem, we must remember that division is the inverse operation of multiplication. This means to undo any multiplication problem, we can divide.
Because 8 * -2 = -16, if we divide the product by the two factors, we can reveal this unique relationship, as shown below:
-16/-2 = 8
-16/8 = -2
Therefore, the two division problems above are your answer.
Hope this helps!