To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
y2 - y1 / x2 - x1
In this case:
1 - 9 / -1 - 3 = -8 / -4
- 8 / -4 = 2 (simplified)
Now we can use the point-slope formula:
y - y1 = m(x - x1)
y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3
In order to make 3x - y = 6 in slope intercept form, we must isolate y.
- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1
( -1 ) - y = - 3x + 6 ( -1 ) = y = 3x -6
118,813,760 different combination license plates can the country produce
<h3 /><h3>permutations and combinations:</h3>
permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.
given that
in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet
X = 10 × 26 × 26 × 26 × 26 × 26
= 10 × 11881376
= 118,813,760
118,813,760 different combinations license plates can the country produce
To learn more about combinations:
brainly.com/question/19692242
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Answer: 10,582.91
Step-by-step explanation: 2.7%*10=27% 8,333*127%= $10,582.91
