What is the equation of the line passing through the points (3,6) and (2,10)
1 answer:
Answer: y= - 4x+18
Step-by-step explanation:
Equation: y=mx+b
***remember: b is the y-intercept and m is the slope.
m=
3= x1
2= x2
6= y1
10=y2
m==
= -4
m=-4
Now we have y=-4x+b , so let's find b.
You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:
(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.
(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.
Equation of the line: y=-4x+18
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Answer:
There are 24 ways to select one book of each type.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
It is provided that there are 6 different biographies and 4 different mystery novels on a bookshelf.
Compute the number of ways to select a biography as follows:
Number of ways to select a biography =
There are 6 ways to select a biography.
Compute the number of ways to select a mystery novel as follows:
Number of ways to select a mystery novel =
There are 4 ways to select a mystery novel.
Then the total number of way to select one book of each type is:
Thus, there are 24 ways to select one book of each type.