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3 years ago

Write the point-slope form of the equation of the line through the given points.

Mathematics

1 answer:

insens350 [35]3 years ago

8 0

Answer:

y-3=7/6(x-4)

Step-by-step explanation:

the equation for point-slope form is y-y1=m(x-x1)

first let's find the slope (m)

the formula for slope is (y2-y1)/(x2-x1)

the given points: (4,3) and (-2,-4)

label the points:

x1=4

y1=3

x2=-2

y2=-4

now substitute into the equation

m=(-4-3)/(-2-4)

m=-7/-6

m=7/6

the slope is 7/6

now substitute the numbers into the equation for point-slope form

y-3=7/6(x-4)

Hope this helps :)!

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Solve for y: 8 = x-y

AnnyKZ [126]

Answer:

The correct answer is:

y= x-8

Step-by-step explanation:

We have the equation: 8 = x-y

By clearing the equation for y (subtracting x both sides of equation) we have:

8 - x = -y (1)

Multiplying (1) by -1

-8+x = y (2)

Re-arranging (2), finally we have:

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3 years ago

Natara is training to run a 26-mile marathon. Each week, she increases the distance she runs on her training days. Over the firs

ValentinkaMS [17]

Answer:

Week 8

Step-by-step explanation:

For each week add 3 miles until you reach 26 miles

Week 1:5

Week 2:5+3=8

Week 3:8+3=11

Week 4:11+3=14

Week 5:14+3=17

Week 6:17+3=20

Week 7:20+3=23

Week 8:23+3=26

Hope this answers your question :)

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2 years ago

There are 482 studemts in the school and there are two Grade 4 classes: Ms.Ashley's and Mr.Ben's classes. Mrs. Aheley's class ha

Paraphin [41]

Answer:

1. 45/482 of the students are in grade 4.

2. 5/9 of the students of the grade 4 are boys.

3. 7/15 of the grade 4 students are in Ms. Ashley's class

4. 3/4 of the students in Mr. Ben's class do not have siblings in the same school.

5. There are 14 students with glasses and 7 without glasses.

Step-by-step explanation:

1. Let's review the information given to us for solving the questions:

Number of students in the school = 482

Ms. Ashley's Grade 4 class = 21 students

Ms. Ashley's Grade 4 class boys = 15 students

Ms. Ashley's Grade 4 class girls = 6 students

Ms. Ashley's Grade 4 class with glasses = 2/3 * 21 = 42/3 = 14 students

Mr. Ben's Grade 4 class = 24 students

Mr. Ben's Grade 4 class boys = 10 students

Mr. Ben's Grade 4 class girls = 14 students

Mr. Ben's Grade 4 class with siblings in the school = 1/4 * 24 = 24/4 = 6 students

2. Let's answer all the questions:

1. What fraction of the students in the school are in grade 4?

(Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)/ Number of students in the school

21 + 24 / 482 = 45/482

2. What fraction of the grade 4 students are boys?

(Ms. Ashley's Grade 4 boys + Mr. Ben's Grade 4 boys)/ (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)

15 + 10 / 21 + 24

25 / 45 = 5/9

3. What fraction of the grade 4 students are in Ms. Ashley's class?

Ms. Ashley's Grade 4 class / (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)

21 / 21 + 24

21 / 45 = 7/15

4. What fraction of the students in Mr. Ben's class that do not have siblings in the same school?

(Mr. Ben's Grade 4 class - Mr. Ben's Grade 4 class with siblings in the school)/ Mr. Ben's Grade 4 class

24 - 6 / 24

18 / 24 = 3/4

5. In Ms. Ashley's class, are there more students that wear glasses or do not wear glasses?

There are 14 students with glasses and 7 without glasses.

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3 years ago

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Step-by-step explanation:

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3 years ago