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
melisa1 [442]
3 years ago
7

Which equation represents the line that passes through (5,8) and (9,2)

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

You might be interested in
A TV station has 11 minutes of commercials for each 60 minutes of air time. What percent
Julli [10]

Answer: Approximately 18.33%

Work Shown:

11/60 = 0.1833 approximately

This decimal converts to 18.33% when moving the decimal point over to the right two spots. Round this value however you need to.

5 0
3 years ago
Help me out please???
xenn [34]

Answer:

(x,y) => (x+3, y+4)

Step-by-step explanation:

Given a triangle DEF, D(4,2), E(3,3), F(2,1).

Centroid of the area (and the vertices) equals the mean of the coordinates, namely ( (4+3+2)/3, (2+3+1)/3 ) = (3,2)

To translate (3,2) to (6,6), we need the rule

(x,y) => x+(6-3), y+(6-2), or

(x,y) => (x+3, y+4)

5 0
3 years ago
These four numbers are plotted on a number line: -2/3 5/8 -3/5 -1/2 Which is the correct ordering on the number line, from left
Yuki888 [10]

Answer:

-2/3 -3/5 -1/2 3/8

..................……

3 0
3 years ago
What type of triangle is shown below check all that apply
sineoko [7]

Answer:

The first image is an Isosceles Triangle and Acute

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help me out on this !
vichka [17]
All to red 13:8
Green to all 5:13
8 0
3 years ago
Other questions:
  • The ratio of the sum of my favorite number and 9 to 15 is the same as the ratio of 3 to 5. What is my favorite number?
    6·2 answers
  • Need help will mark brainliest
    7·1 answer
  • The population of a town grows at a rate proportional to the population present at time t. The initial population of 50 increase
    13·1 answer
  • How do I graph (x−4)(x+2)
    9·1 answer
  • Which statement is true?
    13·1 answer
  • Answer #3 for 30 points FAST
    13·2 answers
  • Matt weighed 60 pounds when he was 8. He now weighs 80 pounds. Find the percent of increase in weight rounded to the nearest ten
    13·1 answer
  • Find the measure of angle K. ​
    7·1 answer
  • Country Carpets charges $25 per square yard for carpeting and an additional installation fee of $120. City carpets charges $35 p
    7·1 answer
  • Emergency workers in a small city estimate that in he event of a hurricane they would need to transport3,250 people out of the c
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!