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
Harman [31]
3 years ago
9

What is the slope-intercept form of the function described by this table?

Mathematics
1 answer:
Pavel [41]3 years ago
7 0

Answer:

y = -4x +2

Step-by-step explanation:

As x-values increase by 1, y-values decrease by 4. The slope of the line is ...

... m = (change in y)/(change in x) = -4/1 = -4

We can use the first (x, y) pair as a point to use in the point-slope form of the equation of a line. That form can be written, for slope m and point (h, k) ...

... y = m(x -h) +k

using m = -4 and (h, k) = (1, -2), we can fill in the numbers to get ...

... y = -4(x -1) -2

... y = -4x +4 -2 . . . . eliminate parentheses

... y = -4x +2 . . . . . . slope-intercept form

_____

<em>Alternate approach</em>

After you recognize that a change in x of 1 gives a change in y of -4, you can work backward one step to find the table value for y corresponding to x=0. That will be -2+4 = +2. Now, you know both the slope (-4) and the y-intercept (+2), so you can write the equation directly from this knowledge:

... y = -4x +2

You might be interested in
Simplify the expression:<br> (2p + 1)(2) =
Oxana [17]

Answer:

4p +2

Step-by-step explanation:

(2p + 1)(2)

Distribute

2p * 2 + 1*2

4p +2

5 0
3 years ago
Read 2 more answers
Find the fraction that is equivalent to 1/4
VikaD [51]
A fraction that is equivalent to 1/4 is 25/100
8 0
3 years ago
Read 2 more answers
A box of 12 tacos cost $9.99. At this rate, how much does one taco cost
EastWind [94]
One taco would cost about $1.20.
5 0
3 years ago
24=3x-16-8x thank you, sorry not to good at math
antiseptic1488 [7]
First, simplify the equation 3X-8X is -5X. So 24=16+-5X. Then subtract 16 from both sides. So you get 8=-5X. Then divide by -5.
So X= -8/5
7 0
3 years ago
Read 2 more answers
4(v – 6) + 5 = 4v - 19
erik [133]

Answer:

0

Step-by-step explanation:

is it helpful or not,?

8 0
3 years ago
Other questions:
  • What is the slope of a line that is perpendicular to a line wise equation is 5y=10+2x
    14·1 answer
  • A sample of 80 high school seniors,45% were are female were surveyed as to wheather or not they are employed outside of school ,
    6·1 answer
  • The quotient of 40 and the product of a number and 33
    14·1 answer
  • A pizza place offers 4 different cheeses and 10 different toppings. In how many ways can a pizza be made with 2 cheese and 3 top
    12·2 answers
  • A package of books weigh 72 ounces. What is the weight of the package in pounds
    12·2 answers
  • Which of these expressions will give the unpaid balance after 6 years on a $90,000 loan with an APR of 7.2%, compounded monthly,
    6·1 answer
  • F(x) = (x - 2)² – 9<br> What is the vertex
    9·1 answer
  • What is the solution to this equation?
    15·1 answer
  • Hjhbihvyrdetsygvihgiutfyuctfcg
    13·1 answer
  • An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 75 type K batteries and a sample of 46
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!