1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ahat [919]
3 years ago
10

3. A line goes through the points (3,4) and (-3,6).

Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0

Answer:

Part a) The slope is m=-\frac{1}{3}

Part b) The equation in point slope form is y-4=-\frac{1}{3}(x-3)

Part c) The equation in slope-intercept form is y=-\frac{1}{3}x+5

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given points

m=\frac{6-4}{-3-3}

m=\frac{2}{-6}

m=-\frac{1}{3}

Part b) Write the equation of the line in point-slope form

y-y1=m(x-x1)

we have

m=-\frac{1}{3}

point\ (3,4)

substitute

y-4=-\frac{1}{3}(x-3)  ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

y=mx+b

we have

y-4=-\frac{1}{3}(x-3)

Isolate the variable y

distribute right side

y-4=-\frac{1}{3}x+1

Adds 4 both sides

y=-\frac{1}{3}x+1+4

y=-\frac{1}{3}x+5 ---> equation in slope intercept form

You might be interested in
A recipe that makes 6 servings calls for 1/3 cup of sugar. Arlene modifies the recipe so that it can serve 9. How many cups of s
ella [17]
So with 1 cup of sugar u could have 18 servings. divide that by 2 equals 9 which is how many servings you need. divide 1 by 2 and get 1/2. she would use 1/2 cups of sugar.
8 0
3 years ago
Is (3,9) a solution of the system
Verdich [7]
Yes it because any function can be a solution to any certain number of different systems
6 0
3 years ago
Ok last question then im done
kkurt [141]
55.. i am pretty sure. if i’m wrong you could slap me
4 0
3 years ago
Read 2 more answers
What is the value of x?
Tresset [83]

Answer:

i think its 8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
In a math class of 30 students, 17 are boys and 13 are girls. on a unit test, 4 boys and 5 girls made an a grade. if a student i
FromTheMoon [43]
There are 13 girls and 4 more students that are boys that made an A grade. Thus there are 13+4=17 students that are either girls or A students.

The probability of choosing a girl or A student is 17/30.
5 0
3 years ago
Other questions:
  • Which of the following is a composite number?<br><br> A: 47<br> B: 91<br> C: 101<br> D: 131
    15·2 answers
  • Which of the following is the equation of the graphed circle? answers: 1) (x + 2)2 + (y – 3)2 = 25 2) (x – 2)2 + (y + 3)2 = 25 3
    11·1 answer
  • There are students from 6th grade, 7th grade, and 8th grade in band. The 7th grade students make up 20%
    7·2 answers
  • Alexander mixed 3 1/4 ounces of red pain and 2 3/4 ounces of white paint to make a batch of pink he need 25 ounces of pink paint
    12·1 answer
  • Communicate Mathematical Ideas Irrational numbers can never be precisely represented in decimal form. Why is this? 20 Unit1
    13·1 answer
  • I will give u all my brainly points which is 71
    8·1 answer
  • Cynthia invests some money in a bank which pays
    10·1 answer
  • DOES ANYONE KNOW ANY OF THIS PLZZZ!!
    5·1 answer
  • The nth term of a sequence is 3n-5. Write down the first three terms of the sequence.
    11·1 answer
  • Least common denominator again please lol. Sorry I keep asking so many questions, but hey, I guess it means you guys get more po
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!