Find the equation of the linear function represented by the table below in slope-intercept form.

x y

-2 -9

1 3

4 15

7 27

Answers

Answer 1

Answer:

[tex]y = 4x-1[/tex]

Step-by-step explanation:

Required:

Determine the equation of the linear function

First, we need to determine the slope (m) as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (-2,-9)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

Substitute these values in [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{15- (-9)}{4 - (-2)}[/tex]

[tex]m = \frac{24}{6}[/tex]

[tex]m =4[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y -(-9) = 4(x - (-2))[/tex]

[tex]y + 9 = 4(x + 2)[/tex]

[tex]y + 9 = 4x + 8[/tex]

Make y the subject

[tex]y = 4x + 8 - 9[/tex]

[tex]y = 4x-1[/tex]


Related Questions


The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form

Answers

Answer:

All we need to do is solve for y.

[tex]y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11[/tex]

The answer is A. y = 4x + 11.

Order the functions from narrowest graph to widest graph.
11. h(x) = 3x2
12. g(x)= -
13. f(x)= x2
14. k(x) = -2x

guys please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

djjdjdjdjdjsksjdjjdjdjdjdjdjdndndnndndjd

The order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x. A graph is a structure that amounts to a set of items.

What is graph?

A graph is a structure that amounts to a set of items in which some combinations of the objects are already in some manner "connected" in discrete mathematics, more specifically within graph theory.

The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge. A graph is typically shown diagrammatically as a collection of dots as well as circles representing the vertices and lines or curves representing the edges. The order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x.

Therefore, the order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x.

To know more about graph, here:

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HURRY HELP WILL GIVE MORE POINTS after answered

Answers

HL
the hypotenuses are congruent and one side of the triangle is congruent

I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value of q

Answers

Given:

A number is q, multiply it by 2 and add 5.

You get the same answer as when you minus 2 from q.

To find:

The value of q.

Solution:

The algebraic representation of the statement "a number is q, multiply it by 2 and add 5" is

Multiply q by 2 = 2q

Multiply q by 2 and then add 5 : 2q + 5

So, the first result is 2q+5.

When you minus 2 from q = q-2

So, the second result is q-2.

According to the question, both results are equal. Equate both results to get the value of q.

[tex]2q+5=q-2[/tex]

Isolate variable terms.

[tex]2q-q=-5-2[/tex]

[tex]q=-7[/tex]

Therefore, the value of q is -7.

what is the y-intercept​

Answers

Answer:

The bottom one

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

because the value of x is o so if you have (0,5) & (4, 5) the y intercept will be 0  

Nine less than the product of 21 and a number

Answers

Answer:

21x - 9

Step-by-step explanation:

math

please please help i’ll give brainliest tysm:))

Answers

Answer:

The answer is 66 feet.

Hope it helps!!

HELPPPPPPPPPPPPPPPPPPP

Answers

Answer:

the picture isnt popping up

A rate in which the second quantity in the comparison is one unit is known as a
______________________.

Answers

Answer:

Unit rate

Step-by-step explanation:

Answer:

Unit rate

Step-by-step explanation:

Unit rate -- A rate in which the second quantity in the comparison is one unit.

what is π plus e its so easy

Answers

It should be 5.85828182846 hope this helps

marrisa dance studio charge a monthly fee

Answers

Answer:

lool what's the question

Step-by-step explanation:

how is life treating you?

A teacher has 600 counters. He keeps 96 counters at his desk and gives the rest to 3 groups of students. The first group of students gets twice as many counters as the second group of students. The third group of students gets four times as many counters as the second group. How many counters did the second group get?

Answers

Answer:

o

Step-by-step explanation:

o

Kaylee earned $446.40 at her job when she worked for 18 hours. What was her hourly wage, in dollars per hour?

On the double number line below, fill in the given values, then use multiplication or division to find the missing value.

Answers

Answer:

Kaylee earned $24.8 per minute.

Step-by-step explanation:

Basically, just divide the total wage, by hours earned.

in the blanks I assume you just put 24.8 dolars per 1 hour and then the final 446.40 for 18 hours at the end of the number line :)

If possible may I have brainlist? Thanks g

1.5(2x – 4) = 2(4x + 2)

Answers

Answer: 2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Step-by-step on how to solve it is in the image below.

Hope this helps! :)

To rent a building for a school dance Ava paid 120$ plus 2.50 for each student who attended if she paid a total of $325 how many students attended the dance

Answers

Answer:

82

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

The first thing you do here is subtract 120 from 325

325-120=205

The next step is to divide 205 by 2.50 to find how many students attended

205/2.50=82

Therefore 82 students paid the $2.50 price to attend the dance

the relationship between the elapsed time in minutes since the stew was removed from the stove and temperature of the stew measured in c is modeled by the following function

Answers


You well just have to subtract

dudee plz help will be given the brainlist if answered correctly

Answers

Answer:

hey im not actually here to help you, i just need points. thanks for the points

Step-by-step explanation:

Which inequality correctly compares Three-fourths, One-seventh, and Five-sixths? One-seventh < Three-fourths < Five-sixths One-seventh < Five-sixths < Three-fourths Three-fourths < Five-sixths < One-seventh Three-fourths < One-seventh < Five-sixths

Answers

Answer:

The inequality which correctly compares Three-fourths, One-seventh, and Five-sixths is : One-seventh < Three-fourths < Five-sixths.

The first option is correct.

Step-by-step explanation:

To determine which inequality correctly compares Three-fourths, One-seventh, and Five-sixths, we will arrange them in ascending order.

To do this, first, we will determine the LCM of the fractions denominators..

Three-fourths, One-seventh, and Five-sixths

[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex]

The denominators are 4, 7 and 6.

LCM of 4,7 and 6 is 84

Then, we will write the fractions in a form whereby they all have the same denominators.

[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex]  can be written as

[tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex]

The resulting order of the numerators gives the order of the fractions.

Now, we will arrange [tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex] in ascending order. This becomes

[tex]\frac{12}{84}, \frac{63}{84},and \frac{70}{84}[/tex].

∴ The ascending order of the fractions is [tex]\frac{1}{7}, \frac{3}{4},and \frac{5}{6}[/tex].

That is, One-seventh, Three-fourths, and Five-sixths.

Hence, we can write that

One-seventh < Three-fourths < Five-sixths.

This is the inequality which correctly compares Three-fourths, One-seventh, and Five-sixths

Answer:

d

Step-by-step explanation:

I am stuck on part b

Answers

Answer: answer is 3.

Step-by-step explanation:

Mean is the sum of all the numbers divided by how many numbers are being added.

Mean = (1 + 2 + 3 + 4 + 5)/5

= 15/5

= 3

I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form

Answers

y=-2/1x ivigvyvitvtuyvsybsubeeuwub

hich correctly describes how the graph of the inequality 4x − 2y > 20 is shaded?

Answers

Answer:

First we need to express y in this inequality:

-2y > -4x + 20

-y > -2x + 10

y < 2x - 10

The line isn't solid because the "less" sign doesn't include equal in it.

Because the sign is "less than" the shaded part is Below the line.

Merging these 2 conclusion we get the answer:

below the dashed line.

Step-by-step explanation:

Pls help me asap!!!!

Answers

Answer:b

Step-by-step explanation:y=2x-3

What is the 6th term in the geometric sequence described by this explicit formula? an= 3•4^(n-1)​

Answers

Answer: 3072

Step-by-step explanation:

i just got it right

Answer:

B)3072

Step-by-step explanation:

an= 3•4^(n-1)​

n here represent the term and here need from you 6th term

So: replace n with 6

a6= 3•4^(6-1)​

     =3x4^5=

hope this helps

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario. What number will complete the point-slope equation that models this scenario?

y−50,000=[_______](x−10)

Answers

Answer:

Step-by-step explanation:

sup

Write a conjecture that describes the pattern below.

3, 9, 27, 81...

Answers

Answer:

the pattern is going by 3s and u would multiply 3 by each number

100 POINTS!!!!
how do you fall asleep in 1 second?

Answers

Answer:

S*i*I*E

Sorry don't know.

But you lying, its only 50 points!!

Answer:

Impossible

Step-by-step explanation:

think logically, your going to need a longer time scale

lets say 1 minute

let your lips part slightly.

Then close your lips and inhale silently for 4 seconds.

Hold your breath for 7 seconds. You can also count till 7 in your head.

Exhale with a whoosh sound for 8 seconds.

Avoid being too alert.

Keep doing this process mindlessly.

do this activity at least 4-5 times.

The record low temperature in Hawaii is -0.15 times the record low temperature in Alaska. The record low temperature in Hawaii is 12°F. What is the record low temperature in Alaska?

Answers

Answer:the record low temperature in Alaska = -80°F

Step-by-step explanation:

Step 1

Let the temperature in Alaska be = x

such that  the temperature in Hawaii be -0.15 times temperature in Alaska = -0.15 x.

Step 2

IF the   record low temperature in Hawaii is 12°F.

Alaska = ??

We know that

Hawaii= -0.15 x temperature Alaska ( 0.15 x)

12°F=-0.15 x temperature Alaska(x)

Temperature of Alaska, x =  12°F/-0.15

= -80°F

1/4 of 36 bottles of water =

Answers

Answer:

9

Step-by-step explanation:

1/4x36=36/4=9

I think the answer is 9!!

my teacher didn't explain well so I need help​

Answers

5,10,15.... you count by 5s

4cos^2(x)-7cos(x)+3
Please help and explain how you did it :)

Answers

I assume you're asked to solve

4 cos²(x) - 7 cos(x) + 3 = 0

Factor the left side:

(4 cos(x) - 3) (cos(x) - 1) = 0

Then either

4 cos(x) - 3 = 0   or   cos(x) - 1 = 0

cos(x) = 3/4   or   cos(x) = 1

From the first case, we get

x = cos⁻¹(3/4) + 2  or   x = -cos⁻¹(3/4) + 2

and from the second,

x =

where n is any integer.

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