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
ioda
2 years ago
12

Complete the equation of the line through (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis and (5,-8)(5,−8)

Mathematics
1 answer:
GarryVolchara [31]2 years ago
7 0

Answer:

y=-3x+7

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of <em>y</em> when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle \frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

Plug in the points (2,1) and (5,-8):

m=\displaystyle \frac{-8-1}{5-2}\\\\m=\displaystyle \frac{-9}{3}\\\\m=-3

Therefore, the slope of the line is -3. Plug this into  y=mx+b as <em>m</em>:

y=-3x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=3x+b

Plug in one of the given points and solve for <em>b</em>:

1=-3(2)+b\\1=-6+b\\b=7

Therefore, the y-intercept is 7. Plug this back into y=-3x+b:

y=-3x+7

I hope this helps!

You might be interested in
Joni earned twice the amount of money babysitting on Saturday as she did on Wednesday. She earned $15 more on Friday than Wednes
Sloan [31]
The answer is B.) $20.
8 0
3 years ago
I don't understand this question very well
shepuryov [24]
There are 10 marbles in the bag all together.
(8/10) = 80% of the marbles in the bag are white.

So if you pull a marble out of the bag, you have an 80% chance
of pulling a white one.

And if you do it many times, you expect that you'll pull
a white one out about 80% of the times.

   80% pf 45 times  =  0.8 x 45  =  36 times .
8 0
3 years ago
I will give brainliest
alexandr402 [8]

Answer: Angle CDG, I think.

Step-by-step explanation:

The definition of Corresponding Angle is: On the same side of the transversal. One is interior and the other is exterior.

Since ADE is interior, then the other angle must be exterior.

6 0
3 years ago
The circumference of the circle-shaped rug is 69.08 inches.
adelina 88 [10]
We can find the diameter by dividing the circumference by 3.14
d = 22

Thus, our radius is 11.
r = 11

Now, let's use the area formula (3.14 \cdot r^2) to solve for the area.
a = 3.14 \cdot (11^2) = \boxed{379.94}
8 0
2 years ago
Pls help ASAP! I’ll give BRAINLIEST
Alexeev081 [22]

I think the second one does

4 0
2 years ago
Other questions:
  • Solve for t. s=1/2gt^2
    12·2 answers
  • Complete the standard form of the equation -4y=3-2y.
    15·1 answer
  • Please look at the attached picture.
    10·2 answers
  • Explain the difference between (-5)2 and -5)2
    11·1 answer
  • Analyze the diagram below and complete the instructions that follow.
    8·2 answers
  • Help. pls. i will mark brainliest.
    11·2 answers
  • Please help me out with this question, I tried it but I think its wrong
    10·1 answer
  • The first step when dividing 9m2 − 4m − 6 by 3m is shown. Which could be the next step? 3m − − 3m − − 3m − − 3m − −
    13·1 answer
  • ASAP 50 points!!!!!!
    6·1 answer
  • The ratio of hydrogen to oxygen in a plant sample is 18:12. The sample has 42 units of oxygen.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!