Which is the formula for slope of a line.

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

4 0

If the line passes through the points $A(x_1,y_1)$ and $B(x_2,y_2),$ then the slope of the line can be determined as

$m=\dfrac{y_2-y_1}{x_2-x_1}.$

Then the equation of the line is

$y=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1.$

Answer: correct choice is B

In-s [12.5K]3 years ago

3 0

Answer:

The correct answer option is $m=\frac{y_2-y_1}{x_2-x_1}$ .

Step-by-step explanation:

To the find of the slope of a line, we need at least two points that are on the line: $(x1,y_1)$ and $(y_1,y_2)$ .

With the help of the coordinates of these two points, we can find the slope of the line by taking the ratio of the difference in values of y by the difference in values of x.

The slope of a line is denoted by $m$ :

$m=\frac{y_2-y_1}{x_2-x_1}$

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The number of ways to form the committee is formed = 637065

Solution:

The number of combinations of n things such that m things taken together are given by:-

$C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}$

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed. There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

$\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}$