A line passes through the point (6, -8) and has a slope of -3/2
Write an equation in slope-intercept form for this line.

Answers

Answer 1
Use y=mx + b, which is slope intercept form

b = y intercept(when x=0)
m = slope

You need to find the y intercept. Use your coordinates and substitute it in the slope intercept equation.

we use (6, -8)

y = mx + b

Then, -8 = -3/2(6) + b

-8 = -9 + b
1 = b

Thus,

y = -3/2x + 1



Related Questions

PLEASE HELPPPPP ASAPPP

Answers

Answer:

y = (-3/5)x - 7

Step-by-step explanation:

you are given the points (5,-10), (-10,-1)

a slope of (-1+10)/(-10-5) = -9/15 = -3/5 can be determined

using the point (0,-7), we can get y+7=(-3/5)(x - 0)

simplified: y = (-3/5)x - 7

g(x) = 5x – 12. What is g(8)?

Answers

Answer:

38?

Step-by-step explanation:

the answer dude lol..............

Michael charges a flat rate of $25 plus $20 per hour, x, to service air conditioners. The total cost Michael charges is f(x). [3 points]
A) What does the independent and the dependent variables represent?
Independent __________________________________
Dependent ____________________________________
B) Write a function rule in function notation for the total cost of his services, for x hours.
Function Rule _____________________________

Show work and answer throughly

Answers

Part (A)

Answers:

Independent Variable = x = number of hours

Dependent Variable = f(x) = total cost in dollars

---------------------------------

Explanation:

The independent variable is always x. When dealing with time, the time value is often the independent variable as time does its own thing. It marches on without any influence or external factors to change it.

On the other hand, the total cost is affected by time. The more time goes on, the higher the total cost will be. We say the total cost is dependent on the time. The dependent variable is always y, which can be replaced with f(x). In short, y = f(x).

===========================================================

Part (B)

Answer:

f(x) = 20x + 25

----------------------------------

Explanation:

The flat rate of $25 represents the initial cost. This is the cost if x = 0 hours of work is done. So this is the cost to get in the door, so to speak. You can think of this as the parts cost (from "parts and labor").

On top of that initial cost is the cost of $20 per hour. This can be thought of as the labor cost. If a job takes 1 hour to do, then we add on $20 to the flat rate of $25. If it takes 2 hours, then we add on 2*20 = 40 dollars. And so on. For x hours, we add on 20x dollars. Whatever x is, we multiply by 20.

So overall we have a flat rate of $25 and a variable rate of 20x dollars giving a total cost of f(x) = 20x+25

As a check, plugging x = 0 should lead to f(x) = 25

Plugging x = 1 should lead to f(x) = 20+25 = 45

And so on.

The graph of the quadratic function shown on the left is
y = –0.7(x + 3)(x – 4).

The roots, or zeros, of the function are
.



Determine the solutions to the related equation
0 = –0.7(x + 3)(x – 4).

The solutions to the equation are x =
.

Answers

Answer: The roots are x = -3 and x = 4

Explanation:

We'll use the zero product property. This is the idea where if A*B = 0, then either A = 0 or B = 0.

So if

-0.7(x+3)(x-4) = 0

then either

x+3 = 0 or x-4 = 0

Both of those equations solve to

x = -3 or x = 4

The roots are the locations of the x intercepts, which is where the graph crosses or touches the x axis.

Answer:

1)   3- and 4

2)  3- and 4

Step-by-step explanation:

Which represents the value of Point D on the number line?
A
B
С
D
-2
0
2
-4
-(-3)
O-(-4)

Answers

Answer:

c

Step-by-step explanation:

your welcome

Answer:

D

Step-by-step explanation:

For triangle ABC with A=103, B=24, a=16, find angle C

Answers

Answer:

given A=103° , B=24°

In triangle ABC,

A+B+C=180° [angle sum property of triangle]

103°+24°+C=180°

127°+C=180°

C=180°-127°

C=53°

hope it help u dear...

Please help! Its algebra 2

Answers

Answer:

Step-by-step explanation:

1. factor completely

5. simplify first fraction

4. common denominator

2 add the fractions

3. open paranthesis and combine like terms


Write the equation of the line in point slope form.
(10 Points)

Answers

Answer:

y=-1/4(x-4)+3

Step-by-step explanation:

work is in the picture

Solve for V in V = s^3, if 8 = 4 V =

Answers

Answer:

64 units³

Step-by-step explanation:

V =  S³

V =  4³

V = 64 Units³

find the range value of x which satistfy inequality (x + 2)² > 2x + 7

Answers

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

21. M List the sides of ABC in order from shortest to
longest

Answers

Answer:

Ummm... I think it would help if you take a screen shot

Step-by-step explanation:

Answer:

The sum of all angles is 180degrees

100 = 8x +4

X =( 100-4)/8 =12

A = 80

B = 41

C = 59

The largest angle is adjacent to the largest side so

B C A

Step-by-step explanation:

Also can u pls mark me brainliest im new

why is an elephant so wrinkled

Answers

Answer:

I have no idea

Step-by-step explanation:

but they beautiul and give good luck

Translate this sentence into an inequality
PLZ HELP ME!

Answers

Answer:

Step-by-step explanation:

(b+8)≤18

What percent is 14 of 20?
SHOW UR WORK

Answers

14% of 20

A percent is out of 100
14 is out of 100 = 14/100
As decimal would be 0.14
0.14x20 = 2.8

Answer:

14 is 70% of 20

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 20, so we can write it down as 100%=20.

4. We know, that x% equals 14 of the output value, so we can write it down as x%=14.

5. Now we have two simple equations:

1) 100%=20

2) x%=14

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=20/14

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14 is what percent of 20

100%/x%=20/14

(100/x)*x=(20/14)*x       - we multiply both sides of the equation by x

100=1.42857142857*x       - we divide both sides of the equation by (1.42857142857) to get x

100/1.42857142857=x

70=x

x=70

now we have:

14 is 70% of 20

QUICK! Should I wear a hoodie or a coat tomorrow?!!!

Answers

Answer:

HOODIEEE u a boy or girl?

Step-by-step explanation:

Hoodie tomorrow!!!!!!!!!!

halp me :<<<<<<<<<<<<<<​

Answers

Answer:

4^2+2^2, 5^2, 6^2-6

Step-by-step explanation:

4 to the power of 2 is 16 and 2 to the power of 2 is 4. 16+4 is 20.

5 to the power of 2 is 25 which is greater than 20.

6 to the power of 2 is 36 minus 6 is 30 which is greater than 25 and 20.

A fair spinner has 10 equal sections there is a probability scale

Answers

Answer:

1/10

Step-by-step explanation:

Because there is ten different numbers so therefore it would be 10/1

Answer:

{1,2,4}

Step-by-step explanation:

Check image for more help

Thankyou

3500 calories for 6 servings of pie ________ calories per serving is what?

Answers

Answer:

583 rounded to the nearest whole number

Step-by-step explanation:

other wise 583.3333333333333333333333333333

It would be 583 calories.

PLEASE HELP ME !

Determine the range of the inequality 4x2 + 3x - 10

Answers

Answer:

-22

Step-by-step explanation:

type it in google

Consider the equation below. What is the discrimination of the equation?
-3x2+27x-63=0

Answers

The answer is x= 23/9 or you can write it as x= 2 5/9 or x= 2.5

hejabwdychbdscuadsva,syjdh help.

Answers

You add 3 to -6 and add 1 to 3 to get -3,4

Good morning can anybody help me out with this assignment please and thanks! \
please this if for an grade

Answers

Good Morning hope this helped.

Answer:

1: The cost of twelve bottles is $24 cause 12x2=24.

2: The ratio is 24/12 or 2/1

3: $2 every time

A cardboard box has edges of length 5.5 in, 3.2in,and 7.25 in.what is the volume of the box?I will gave u Brainliest if u tell me the answer have a nice day

Answers

Answer:

The answer is 127.6

Step-by-step explanation:

To find the volume of something, you multiply.

So:5.5 times 3.2 times 7.25 is equal to 127.6

HOPE THIS HELPS YOU!!!!    :)

Answer:

127.60 square inches

Step-by-step explanation:

Multiply the diameters all together to get your answers.

5.5 x 3.2 x 7.25

Multiply

5.5 x 3.2 = 17.6

Multiply some more

17.6 x 7.25 = 127.6

You can also just multiply like this:

5.5 x 3.2 x 7.25 = 127.6

Hope this helped :)

Please consider Brainliest :)

10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)

Answers

I think it is -5................

Which equation matches the graph?

Answers

Answer:

A

Step-by-step explanation:

Does the table represent a proportional or a nonproportional linear relationship?​

Answers

Answer:

nonproportional

Step-by-step explanation:

proportional would mean that the y intercept is 0 but it's 3

Find the slope of the line without graphing using the 2 points below.



(-3 , 4) & (13 , 8)



m = _______

Answers

Answer:

Step-by-step explanation:

1. use the slope formula --> (y2-y1)/(x2-x1)

2. (8 - 4)/(13 -(-3))

3. 4/16

4. m = 1/4

please helpppp:(((( thank you

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What is the equation of the line?

Answers

Answer:

I believe it should be the second answer

A box of cereal states that there are 90 calories in a 3 4​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 2 cups of the​ cereal?

Answers

Answer:

Calories per cup = 120 calories

Calories in 2 cups = 240 calories

Step-by-step explanation:

Given that:

Number of calories in a [tex]\frac{3}{4}^{th}[/tex] cup serving = 90 calories

To find:

Unit rate for calories per cup = ?

Number of calories in 2 cups of cereal = ?

Solution:

Here we are given the number of calories in a [tex]\frac{3}{4}^{th}[/tex] cup serving.

To find the calories in one cup, we need to divide 90 calories with [tex]\frac{3}{4}[/tex].

So, unit rate for calories per cup can be given as:

[tex]\dfrac{90}{\frac{3}4}\\\Rightarrow \dfrac{90}{3}\times 4\\\Rightarrow \bold{120 \ calories}[/tex]

To find the calories in 2 cups of cereal, we need to multiply the unit rate for calories per cup with 2.

So, calories in 2 cups of cereal = [tex]120 \times 2[/tex] = 240 calories

Therefore, the answer is:

Calories per cup = 120 calories

Calories in 2 cups = 240 calories

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