What is the relationship between a and b. ?

Answer:

[tex]y=-\frac{5}{3}x+2[/tex]

Step-by-step explanation:

So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.

The slope formula is:

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

Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.

Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]

So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).

[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]

Distribute the -5/3 on the right side.

[tex]y-7=-\frac{5}{3}x-5[/tex]

Add 7 to both sides.

[tex]y=-\frac{5}{3}x+2[/tex]

And now we have the equation in slope-intercept form.

I hope you find my answer and explanation to be helpful. Happy studying.

y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (-3,7) and (6,-8)

m=-8-7/6-(-3)

m=-15/6+3=-15/9

m=-5/3

Now let us find the y intercept b.

7=-5/3(-3)+b

7=5+b

b=7-5

b=2

The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)

y=-5/3x+2

Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

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Answer:

16 36 169 100

Step-by-step explanation:

Answer:

16, 32, 169, 100

Step-by-step explanation:

Answer: 0.40 and 40%

Answer:

40%

Step-by-step explanation:

Daniel will take 8 trips.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Number of boxes = 32

Number of boxes can be carried in each trip  = 4

So, Number of trips = Number of boxes / Number of boxes can be carried in each trip

⇒ Number of trips = 32/4

⇒ Number of trips = 8

this is the required number of trips Daniel will take.

Thus, Daniel will take 8 trips.

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Answer:

6/8 12/16 27/36

Step-by-step explanation:

Answer:

3g can mean several things, depending on the context of the problem. g can be a variable, but it can also mean "grams"

Step-by-step explanation:

Answer:

This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

there was 4/5 you just had to minis 3and 4

Complete Question

The complete question is shown on the first uploaded image

Answer:

Population

All undergraduate college students at the  researcher's university ,

Sample

The 107 undergraduate college students who returned the questionnaire

Step-by-step explanation:

From the question we are told that

   The list of undergraduate college students obtained from her university is  n= 1196

     The number of student that are randomly selected is  n =  500

      The number of e-mail that was returned is  k = 107

     The proportion that believes that the federal student loan program needs to be completely overhauled is  [tex]\^{p} = 0.71[/tex]

Generally the population for this particular study is

All undergraduate college students at the  researcher's university ,

this is because they are the total pool of data from which the statistical sample are randomly selected from

Generally the sample for this particular study is

The 107 undergraduate college students who returned the questionnaire

 this is because this data provides us with an insight on the perspective of all undergraduate college students at the researcher's university about federal financial  aid

Answer:

9/28 in fraction , 0.3214285714 in decimal

Step-by-step explanation:

0.32142857142 in decimal form

Answer:

yes it is a function

Step-by-step explanation:

Step-by-step explanation:

C is the answer of your question

Answer: 9 and 12

Step-by-step explanation:

Answer:

9 and 12

I HOPE IT WILL HELP YOU?:-)

Answer:

amazon

Step-by-step explanation:

its the biggest

Answer:

A: 45

B: 110

C: 25

Step-by-step explanation:

all angles of a triangle always add together to make 180

x + 25 + x + 65 = 180

combine like terms

2x + 90 = 180

subtract 90 from both sides of the equation

2x = 180 - 90

divide both sides of the equation by 2

x = 90/2

x = 45

Answer:

c b a

Step-by-step explanation:

Answer:

cba

Step-by-step explanation:

sorry if its wrong

Answer:

Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

The slope is 2/3

Step-by-step explanation:

The equation that the graph gives us is y = 2/3x + 3.

With this equation, we know that the slope is 2/3.

Bonus:

With this equation, we also know that the y-intercept is 3.

Answer:

C=5h+3 when h=5

C=28

Step-by-step explanation:

Answer:

666

Step-by-step explanation:

Because I said so.

Answer:

3.16(i think)

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer:

20 gal of gas

Step-by-step explanation:

200÷10=

20

Answer:

25

Step-by-step explanation:

Answer:

x equal four-teen... I'm pretty sure brainliest plsss

Answer:

10/15-9/15

Step-by-step explanation:

Answer:

2/3-3/5=10/15-9/15

Step-by-step explanation:

You want a common denominator which here is 15. To get to 15 in 2/3 you needed to multiply by 5 and in 3/5 you needed to multiply by 3.

Answer:

15,200

Step-by-step explanation:

Answer:

15,200

Step-by-step explanation:

208 is much closer to 200 than 300. it says hundred so look a the hundreds place (208) and round. 250 and up = next hundred number 249 and down = same hundred number

Answer:

16.68

Step-by-step explanation:

You can either enter it into the calculator or do it the long way.

Answer:

960 degrees

Step-by-step explanation:

16pi/3 times 180/pi

16/3 times 180

16 times 60= 960

hope this helps!!

Answer:

168

Step-by-step explanation:

e2020

Answer:

Step-by-step explanation:

Recall that (a-b)(a+b) = a^2 - b^2

So,

(x-2i)(x+2i) = x^2 - (2i)^2 = x^2+4

(x+i-i)(x+1+i) = (x+1)^2 + 1 = x^2 + 2x + 2

(x-2+2i)(x-2-2i) = (x-2)^2 + 4 = x^2 - 4x + 8

9514 1404 393

Answer:

  the denominator of each fraction is 2

Step-by-step explanation:

The numerator of a fraction is the number above the fraction bar; the denominator is the number below the fraction bar. In the fraction ...

  [tex]\dfrac{7}{2}[/tex]

the numerator is 7, and the denominator is 2.

__

Similarly, the number 2 is below the fraction bar and is the denominator in the fraction ...

  [tex]\dfrac{1}{2}[/tex]

The numerator is 1, and the denominator is 2.

_____

The denominators of both of these fractions are 2. Since they are both the same, that value (2) can be used as the common denominator of the sum or difference of these fractions:

  [tex]\dfrac{7}{2}+\dfrac{1}{2}=\dfrac{7+1}{2}\qquad\text{or}\qquad\dfrac{7}{2}-\dfrac{1}{2}=\dfrac{7-1}{2}[/tex]