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
solniwko [45]
3 years ago
15

Use the two point (0,9) and (8,5) to write the equation in slope-intercept form.

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

y = -1/2x + 9

Step-by-step explanation:

(0, 9) and (8, 5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(5 - 9) / (8 - 0)

Simplify the parentheses.

= (-4) / (8)

Simplify the fraction.

-4/8

= -1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, 5). Plug in the x and y values into the x and y of the standard equation.

5 = -1/2(8) + b

To find b, multiply the slope and the input of x(8)

5 = -4 + b

Now, add 4 to both sides to isolate b.

9 = b

Plug this into your standard equation.

y = -1/2x + 9

This is your equation.

Check this by plugging in the other point you have not checked yet (0, 9).

y = -1/2x + 9

9 = -1/2(0) + 9

9 = 0 + 9

9 = 9

Your equation is correct.

Hope this helps!

You might be interested in
What is the ships speed
jarptica [38.1K]

Answer:

You need a photo or text to back that up, we can't solve this without an image or something that explains this problem.

Step-by-step explanation:

7 0
3 years ago
Solve the linear equation for x. –4.8(6.3x – 4.18) = –58.56 x =
liq [111]

Answer:

X=2.6

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Question 30
V125BC [204]

Answer:

a. 26 ft

Step-by-step explanation:

When triangles are similar their sides are proportional

4/8 = h/(44+8)

1/2(52) = h

h = 26

6 0
3 years ago
A city has a populations of 38,802,500 people. estimate the population ot hte nearest ten million
Zolol [24]

Answer:

39,000,000

Roundend to the nearest 1,000,000 or

the Millions Place.

38,802,500.0000000

Roundend to the nearest 0.0000001 or

the Ten Millionths Place.

8 0
2 years ago
Aubrey can walk 4 1/2 miles in 1 1/2 hours. Find her average speed in miles per hour.
Naddik [55]
Time = 11/2 = 5 1/2
Road = 4 1/2 miles
Speed = 5 1/2 : 4 1/2 = 1 2/9 <------------answer
4 0
3 years ago
Read 2 more answers
Other questions:
  • 11. Simplify each expression.
    8·1 answer
  • 20% as a fraction in simplest form
    13·2 answers
  • a bag contains 10 marbles four of them are red three blue two white and one yellow a marble is drawn at ramdom what is the proba
    7·2 answers
  • The 5th grade teacher ordered 32 pizzas for an end-of-year celebration for their students.
    13·2 answers
  • Someone plss help :)
    11·1 answer
  • The measure of the exterior angle of the triangle is ___
    8·2 answers
  • A certain student has taken 124 credit hours so far in college. The student took the same number of credit hours in each fall se
    10·1 answer
  • How to Factor the Trinomial x^2 - x + 1 using the box method?<br><br><img src="https://tex.z-dn.net/?f=x%5E2%20-%20x%20%2B%201"
    7·1 answer
  • Consider the derivation of sin(2x). A 2-column table with 3 rows. Column 1 has entries 1, 2, 3. Column 2 is labeled Step with en
    7·1 answer
  • The graph of the function f(x) = (x-3)(x + 1) is shown.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!