All categories

3 years ago

Find the slope of the line that passes through each pair of points.

Mathematics

1 answer:

Leno4ka [110]3 years ago

3 0

Answer:

The equation of the line is y = 6/7x + 2/7

Step-by-step explanation:

In order to find this, we first need to find the slope. For that we use slope intercept form.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 + 4)/(2 + 5)

m = 6/7

Now that we have this, we can use the slope and either point in slope-intercept form to get the equation.

y - y1 = m(x - x1)

y - 2 = 6/7(x - 2)

y - 2 = 6/7x - 12/7

y = 6/7x + 2/7

You might be interested in

I have many students are represented in the data set?

nalin [4]

Answer:

a) 19 students

b) the mean 3 9/19

the median 3

the mode 3

c) the range 6

Step-by-step explanation:

The data set shows that

0 points gets 1 student,

1 point gets 1 student,

2 points get 2 students,

3 points get 6 students,

4 points get 4 students,

5 points get 3 students and

6 points get 2 students.

a) There are 1+1+2+6+4+3+2=19 students.

b) The mean is

$\dfrac{1\cdot 0+1\cdot 1+2\cdot 2+6\cdot 3+4\cdot 4+3\cdot 5+2\cdot 6}{19}=\dfrac{66}{19}=3\dfrac{9}{19}.$

The average score is 3 9/19 points.

The median is 10th term in the data set - 3 points (means the middle score in the data set)

The mode is 3 points (means most happened score)

c) The range of the data is 6-0=6 points.

7 0

3 years ago

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

$\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}$

Formula for probability of an event E is given as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For $P(\text{boy as pianist})$ , number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, $P(\text{boy as pianist})$ is:

$P(\text{boy as pianist}) = \dfrac{2}{5}$

For $P(\text{girl as alternate})$ , number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

$P(\text{girl as alternate}) = \dfrac{3}{4}$

So, the required probability is:

$\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}$

6 0

3 years ago

Find the length of a missing side, x , in the triangle at right. Show the work leading to your answer

BARSIC [14]

Answer:

Step-by-step explanation:

!3x5 is 48

5 0

2 years ago

A used automobile dealership recently reduced the price of a used compact car by 6%. If the price of the car before discount was

Alchen [17]

Answer:

The discount = $1,128

New price = $17,672

Step-by-step explanation:

Price of car before discount = $18,800

Discount given = 6% of price of car

Discount value in dollars = 6% of $18,800 = 6/100*$18,800 = $1,128

Thus, the discount is $1,128

New price = Price of car before discount - discount = $18,800- $1,128

New price = $17,672

7 0

3 years ago

Please help me with this question.

Korvikt [17]

2x is what I would say but i sayy ask an expert

6 0

2 years ago