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
Tanisha spends $20.90 on 9.5 quarts of strawberries for the shortcake. What is the price of each quart of strawberries?
Mice21 [21]
Each quart of strawberries is $2.20
6 0
3 years ago
In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:
Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that n = 1289.

Of the respondents, 436 replied that America is doing about the right amount. This means that \pi = \frac{436}{1289} = 0.3382.

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. ​

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364

The 95% confidence interval is:

B (0.312, 0.364)

5 0
2 years ago
Quadrilateral MNQP has vertices as shown. If the figure is translated 4 units left and 3 units down, what are the coordinates of
PilotLPTM [1.2K]
<h3>Answer:    (-3, 0)</h3>

Explanation:

Point N is at (1,3)

We apply the rule (x,y) \to (x-4,y-3) which will translate the point 4 units to the left and 3 units down.

The old x coordinate x = 1 becomes x-4 = 1-4 = -3

The old y coordinate y = 3 becomes y-3 = 3-3 = 0

The point N(1,3) moves to N ' (-3, 0)

4 0
2 years ago
If x=6 find the value of x/2
nekit [7.7K]

Answer:

3

Step-by-step explanation:

6/2=3

7 0
3 years ago
Read 2 more answers
Factor out completely the quadratic function : NEED THIS ASAP WILL GIVE BRAINLIEST
ra1l [238]

Answer:

Here is your answer

Step-by-step explanation:

3.(x+3)(x+5)

4.(x-8)(x+8)

5.(x+6)^2

8 0
2 years ago
Other questions:
  • 8r-5q=3, solve for q
    12·2 answers
  • Find two numbers that differ by 8 and whose square roots differ by 1. Those two numbers are ___ and ____
    5·1 answer
  • !!!!!!1Dont skip plz!!!!
    7·1 answer
  • Divide 33 photos into groups so the ratio is 4 to 7
    12·1 answer
  • ILL GIVE YOU BRAINLIST !!!
    5·2 answers
  • Write an inequality that present ten less then four times a number is more than1000
    14·1 answer
  • Can somebody please help me out please my grads are bad
    9·2 answers
  • 700, 1200, 1600, 2000, X
    6·1 answer
  • 3.(-48)÷ 48=_____ class 7th Chapter integer​
    15·1 answer
  • You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 15 children present in your va
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!