The slope of the line may be calculated by using the formula:
m = (y2 - y1)/(x2 - x1), where m is the slope, and (x1, y1) and (x2, y2) are two points on the line.
Using the points (0, -1) and (2, 4) shown, we can substitute these values into the formula above to get:
m = (y2 - y1)/(x2 - x1)
m = (4 - (-1))/(2 - 0)
m = 5/2
Therefor, the slope is 5/2.
Another way to think about the slope is in terms of rise/run, that is for a given interval that the x-value 'runs', by how much does the y value 'rise'?
Here, if we take the same two points (0, -1) and (2, 4), we can see that the x-value has moved 2 units, and the y-value has increased by 5 units. Thus:
if slope = rise/run, then the slope would be 5/2
Note that you should be careful when using this method if the y-value decreases as x increases; in this scenario, the 'rise' would be a negative value rather than a positive one
Answer:
a(t) = -8t + 124
Step-by-step explanation:
The number of apples left 3 days after picking them is given by the following equation:
3 days after picking apples, a family had 100 apples left.
This means that 
So
After 6 days, 76 apples were left.
So a(6) = 76. Then
Since b = 100 - 3m
b:
So
a(t) = -8t + 124.
Answer:
-8/3 or -2.66666 or -2 2/3
Step-by-step explanation:
Move constant (+9) to the right side and change its sign (25 - 9)
Then subtract those numbers (=16)
Divide both sides by -6
Total number of bulbs produced=5000
total number of samples=120
number of defective=3
Probability that a bulb selected at random is defective will be:
3/120=0.025
The total number of bulbs that could be defective out of 5000 bulbs produced will be:
5000(0.025)=125 bulbs
