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
uysha [10]
3 years ago
6

The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)

Mathematics
1 answer:
zhenek [66]3 years ago
3 0
Answer:

Use the two points to compute the slope, m, then use one of the points in the form <span>y=m<span>(x)</span>+b</span> to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

<span>m=<span><span><span>y1</span>−<span>y0</span></span><span><span>x1</span>−<span>x0</span></span></span> [1]</span>

The equation <span><span>f<span>(2)</span></span>=−1</span> tells us that <span><span>x0</span>=2and<span>y0</span>=−1</span>; substitute this into equation [1]:

<span>m=<span><span><span>y1</span>−−1</span><span><span>x1</span>−2</span></span> [2]</span>

The equation <span><span>f<span>(5)</span></span>=4</span> tells us that <span><span>x1</span>=5and<span>y1</span>=4</span>; substitute this into equation [2]:

<span>m=<span><span>4−−1</span><span>5−2</span></span> [3]</span>

<span>m=<span>53</span></span>

Substitute <span>53</span> for m into the equation <span>y=m<span>(x)</span>+b</span>

<span>y=<span>53</span>x+b [4]</span>

Substitute 2 for x and -1 for y and the solve for b:

<span>−1=<span>53</span><span>(2)</span>+b</span>

<span>b=−<span>133</span></span>

Substitute <span>−<span>133</span></span> for b in equation [4]:

<span>y=<span>53</span>x−<span>133</span> [5]</span>

Check:

<span>−1=<span>53</span><span>(2)</span>−<span>133</span></span>
<span>4=<span>53</span><span>(5)</span>−<span>133</span></span>

<span>−1=−1</span>
<span>4=<span>4</span></span>

<span><span>
</span></span>

<span><span>Hope this helps </span></span>

You might be interested in
Make an approximate conversion from English to metric. <br><br> 9 ft to meters
Anna71 [15]

Answer:

2.7 meters

Step-by-step explanation:

I hope this helped

4 0
3 years ago
Need help , if you can answer it pls do . thank you
lara [203]

Answer:

9

Step-by-step explanation:

14-5=9

therefore TV=9

hope this helped

3 0
3 years ago
Prove the following identities:​
siniylev [52]
The picture won’t load message me so i can answer !!
7 0
2 years ago
A map has a scale of 1.5 inches =9 miles
lawyer [7]

Answer:

I don’t know lol

Step-by-step explanation:

8 0
3 years ago
About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about
In-s [12.5K]

Answer:

1 in 12

Step-by-step explanation:

Probability = success / (success + failure)

Odds = success / failure

The probability is 8%, which means in a group of 100 people, 8 will catch the flu and 92 will not.  So the odds are 8/92, which reduces to 1/11.5, or approximately 1/12.

3 0
3 years ago
Other questions:
  • a bag of marbles contains 8 red marbles, 4 blue marbles, and 5 white marbles. tom picks a marble at random. is it more likely th
    15·1 answer
  • Use properties of exponents to write an equivalent expression for 5 exponent 4 * 5 exponent -7
    11·1 answer
  • What is 8 multiplied by 4/7 as a mixed number
    11·2 answers
  • HELP ME FOR BRIANETEST
    6·1 answer
  • Krutika and Natasha win some money and share it in the ratio 4:3. Krutika gets £7 more than Natasha. How much did they get altog
    11·1 answer
  • Which function has the greatest rate of change?
    5·1 answer
  • Alberto quiere envasar 32 toneladas de arroz en sacos de 15 kilogramos cada uno, ¿Cuántos sacos necesitarán?
    12·1 answer
  • In 28 years a man will be twice as old as he will be in 2 years. How old is he now?<br> +
    14·2 answers
  • What is the value of X?
    5·2 answers
  • Find the least common multiple (LCM) of 7, 10, and 20.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!