Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13.

Complete the point-slope equation of the line through (2,3 and (7,4). Use exact numbers.

uysha [10]

The point-slope equation of the line is $y-3=\frac{1}{5}(x-2)$

Step-by-step explanation:

The form of the point-slope equation is $y-y_{1}=m(x-x_{1})$ , where

m is the lope of the line
$(x_{1},y_{1})$ is a point lies on the line

The slope of a line $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

∵ The line through (2 , 3) and (7 , 4)

∴ $x_{1}$ = 2 and $x_{2}$ = 7

∴ $y_{1}$ = 3 and $y_{2}$ = 4

- Substitute these value in the rule of the slope

∵ $m=\frac{4-3}{7-2}=\frac{1}{5}$

∴ the slope of the line is $m=\frac{1}{5}$

Let us substitute the value of the slope and the coordinates of point $(x_{1},y_{1})$ in the form of the equation

∵ $y-y_{1}=m(x-x_{1})$

∵ $x_{1}$ = 2 and $y_{1}$ = 3

∵ $m=\frac{1}{5}$

∴ $y-3=\frac{1}{5}(x-2)$

The point-slope equation of the line is $y-3=\frac{1}{5}(x-2)$

Learn more:

You can learn more about the linear equation in brainly.com/question/12941985

#LearnwithBrainly

3 0

3 years ago

Please help problems below!!

kap26 [50]

Answer:

9. B 10. C 11. A 12. C

Step-by-step explanation:

Greater rate of change simply means slope! Which ever of the functions has the greatest slope (positive or negative)

9.

a. The graph shows the line going up by 4, and across by 3, or, a slope of 4/3

b. the table is increasing by 10, so, 10/1

c. -6 = -6/1, out of all of these, we divide by the denominators and determine which number is the greatest, ignoring whether or not the value is positive or negative

a. 4/3 = 1.333333

b. 10/1 = 10

c. -6/1 = -6 (remember, ignore the sign)

In this case, B is the greatest number, therefore, it has the greatest rate of change

10.

a. -3 / 3 = -1 (ignore the negative!)

b. 2/1 = 2

c. 4/1 = 4

In this case, C, is the greatest number, meaning its rate of change is highest

11.

a. -1/3 = -0.333333 (ignore the yk what!)

b. 0.25/1 = 0.25

c. -1/5 = -0.20 (you already know)

In this case, a, is the greatest number, meaning, its rate of change is the highest

12.

a. 0/1 = 0

b. 0.5/1 = 0.5

c. 2/1 = 2

In this case, c, is the greatest number, meaning, its rate of change is the highest.

Hope this helps!! <3

7 0

3 years ago

Given the box plot, will the mean or the median provide a better description of the center?

yuradex [85]

Answer:

The median, because the data distribution is skewed to the right

Step-by-step explanation:

If the longer part of the box is to the right (or above) the median, the data is said to be skewed right. If the longer part is to the left (or below) the median, the data is skewed left. The data is skewed right. The median would be a better estimate, because one or two numbers on the high end will cause the numbers to be skewed to the right, and the mean to be high

4 0

3 years ago

Read 2 more answers

National polls are often conducted by asking the opinions of a few thousand adults nationwide and using them to infer the opinio

Nonamiya [84]

Answer:

The population is the set of all the elements. And the sample is a subset of the population.

Step-by-step explanation:

The population is the set of all the elements. And the sample is a subset of the population.

The sample is used to make conclusions regarding the population.

A poll is conducted from the target population to determine the general opinions of the individuals of that population.

The basic method of polling is to select a few thousand individuals from the population and ask their opinions on a certain subject.

The poll will result usually in two values, the proportion of individual in favor and the proportion of individual not in favor.

Consider the example below.

The polling done to determine the favorability of the new brand of tea. The polling was done using a few hundred members of the tea drinking community of a country. The poll resulted as follows:

In favor = 72%

Not in favor = 28%

The population is the entire tea drinking community of a country.

In this case the sample consist of few 100 people of the tea drinking community of a country.

6 0

2 years ago

from this year to ten years later, the number of people employed as physician assistants in the country is expected to increase

wariber [46]

Answer:

101430

Step-by-step explanation:

69000=100 what about 147%. 69000×147/100=101430

8 0

2 years ago