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Pani-rosa [81]
3 years ago
7

What equation represents the linear function shown in the graph? Enter your answer in the box. Write your answer in the form y =

mx + b.

Mathematics
2 answers:
Kobotan [32]3 years ago
6 0

Answer:

y=-\frac{3}{4}x


Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In a direct variation the constant of proportionality k  is equal to the slope m and the line passes through the origin

In this problem the line passes through the origin

therefore

The linear equation of the figure represent a direct variation

Let

A(0,0),B(4,-3)

Find the slope m

The formula to calculate the slope between two points is equal to


m=\frac{y2-y1}{x2-x1}


substitute

m=\frac{-3-0}{4-0}


m=-\frac{3}{4}


The equation of the line is equal to

y=-\frac{3}{4}x



julia-pushkina [17]3 years ago
4 0
You can take the first point as the origin O(0,0) and the second one (-2,0.5) for easier calculations.
Find the slope, m = (y2 - y1)/(x2 - x1)
= -2-0 / -0.5-0 = 2/0.5 = 4

now take (x,y) = (0,0) and m= 4
use the point slope form
(y - y1) = m(x - x1)
(y - 0) = (4)(x - 0) ......taking (x1,y1) = (0,0)
y = 4x + 0 ...... in the form of y = mx + b
I hope I was helpful:)

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Give a rule for finding the first of four consecutive odd integers if you know the sum of the four integers.
Artemon [7]

This ones a bit of a trick question, since whether the integers are even or odd doesn't really matter. What does matter, is that consecutive odd integers are 2 numbers apart (as are consecutive even integers).

So again, if the first of the odd integers is the variable n

the consecutive odd integers after it can be written as:

n+2 , n+4, etc...

So the sum of four consecutive odd integers can be written as:

sum = n + (n+2) + (n+4) + (n+6)

Simplify:

sum = 4n + 12

And finally rearrange to solve for n:

\frac{sum-12}{4} = n

This can also be written as:

\frac{sum}{4} - 3 = n

Whichever way you prefer.

6 0
3 years ago
Read 2 more answers
Glados works as a nurse at a county hospital in Baton Rouge. Glados
Serga [27]

Answer:

Glados makes $44.76 per hour.

Step-by-step explanation:

Given:

Total hours Glados worked this week = 38.4

Amount earned by Glados this week = $1,718.64

To find her hourly earnings for the week.

Solution:

We will use unitary method to find the unit rate.

If for 38.4 hours Galdos earned = $1,718.64

Then for 1 hour she will earn = \frac{\$1,718.64}{38.4}=\$44.756\approx\$44.76

Thus, Galdos' hourly earnings for the week = $44.76

7 0
3 years ago
given MP m(-12 -5) and p(9,-12) if N lies on MP such that the ratio of MN to NP is 3:4, Find the coordinates of N
Nataly_w [17]

Answer:

The coordinates of N are (-3,-8)

Step-by-step explanation:

Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4

Mathematically, that would be;

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

we have;

m = 3 and n = 4

M is (x1,y1) while N is (x2,y2)

we have;

(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)

(x,y) = (-48 + 27)/7, (-20 -36)/7

(x,y) = (-21/7 , -56/7)

(x,y) = (-3,-8)

8 0
3 years ago
What is the derivative of -5
ololo11 [35]
The derivative of constant numbers is zero.
8 0
3 years ago
Please help and is this correct
bulgar [2K]

Answer:8.1000=8000

9.100=900

8000>900

8.1000>9.100

Step-by-step explanation:

6 0
3 years ago
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