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
LenaWriter [7]
2 years ago
6

Write the equation using the table and graph pictured above (Hint: this is a 2 step equation )

Mathematics
1 answer:
Marat540 [252]2 years ago
8 0

Answer:

y = -2x + 12

Step-by-step explanation:

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)

I will use the first point (1, 10) and the last point (5, 2)

Plug in these values:

(2 - 10) / (5 - 1)

Simplify the parentheses.

= (-8) / (4)

Simplify the fraction.

-8/4

= -2

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

y = -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 last point (5, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -2(5) + b

To find b, multiply the slope and the input of x(5)

2 = -10 + b

Now, add 10 to both sides to isolate b.

12 = b

Plug this into your standard equation.

y = -2x + 12

This is your equation.

Check this by plugging in the other point you have not checked yet (1, 10).

y = -2x + 12

10 = -2(1) + 12

10 = -2 + 12

10 = 10

Your equation is correct.

Hope this helps!

You might be interested in
1.. If a golfer’s score of 4 under par is represented by –4 on a number line, then how would a golfers score of 4 over par best
olya-2409 [2.1K]
This is a bit of a guess, but I think probably a) +4 and also a) -215
3 0
3 years ago
If you reflect ABCD across x-axis, what will be the coordinates of A’ and C’
disa [49]

Answer:

A (1, -5), B (2, -5)

8 0
3 years ago
Read 2 more answers
Use the Pythagorean theorem to solve for x
Andre45 [30]

Answer: 15

Step-by-step explanation:

12^2 + 9^2 = 225

square root of 225 = 15

5 0
2 years ago
Suppose you drive a car 392 mi on a tank of gas. The tank holds 14 gallons. The number of miles traveled vaties directly with th
Serhud [2]

Preliminary Problem

Givens

Miles = m = 392 miles

Gallons =  G = 14 gallons

Miles per gallon = mpg

Formula

miles = miles per gallon * number of gallons.

Solve

392 = mpg * 14                         Divide by 14

392 / 14 = mpg

28 = mpg  which is really quite good.  Our vehicle gets 44 mpg but it's a 4 cylinder. It's meant to get that kind of milage.

Part A

Let x = the number of gallons used

Let y = the number of miles driven

y = k*x

Part B

y = k* x

k =28 mpg

11700 = 28*x

11700 /28 = x

x = 417.86

If this is incorrect please put some more facts in. The question does not seem complete.


7 0
3 years ago
3) show that the two lines with the given slopes are parallel, perpendicular neither. My₁ = 3/4 M₂ = 12/16 . solve it by showing
Jet001 [13]

Parallel lines have equal slope so

  • M1-M2=0

Lets check

  • M1=3/4
  • M2=12/16=3/4

Now

  • M1-M2
  • 3/4-3/4
  • 0

Lines are parallel

8 0
2 years ago
Read 2 more answers
Other questions:
  • Last year, Warren grew 5/7 of an inch and his brother grew 1/4 of an inch.How much more did warren grow than his brother?
    8·1 answer
  • Debbie goes to a diner famous for its express lunch menu. The menu has five appetizers three soups seven entrees six vegetables
    13·1 answer
  • What is the coefficient of the term?<br><br> -3gh<br><br>a) -3<br>b) 3<br>c) g<br>d) gh
    9·2 answers
  • What is lim x→3 x^2 - x - 6/ x - 3
    13·1 answer
  • Positive solution to the quadratic equation?<br> (x-2)(x + 7) = 0
    14·1 answer
  • Write an equation of the line that passes through the given points (-4,8) and (2,2)
    10·2 answers
  • Help!<br> Best answer brailiest.
    15·2 answers
  • Hi..can anyone help me.. I really just want to know how can you do it.. I want to learn because I have more examples.. can anyon
    6·1 answer
  • A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon
    14·1 answer
  • The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!