Write the equation of the line in fully simplified slope-intercept form.

Write The Equation Of The Line In Fully Simplified Slope-intercept Form.

Answers

Answer 1

Answer:

[tex]y=-\frac{1}{4} x-6[/tex]

Step-by-step explanation:

The slope-intercept form is [tex]y=mx+c[/tex], where m is the slope of the line and c is where the line crosses the [tex]y[/tex]-axis.

To calculate [tex]m[/tex] we can use the formula [tex]m = \frac{dy}{dx}[/tex] where [tex]dy[/tex] is the difference in [tex]y[/tex] between two points and [tex]dx[/tex] is the difference between [tex]x[/tex].

Information we can get from the graph given: [tex]c=-6[/tex]. Since [tex]c[/tex] is the point at which the line crosses the [tex]y[/tex]-axis.

To find [tex]m[/tex] let's get two points from the graph.

Point 1: [tex](4,-7)[/tex]

Point 2: [tex](8,-8)[/tex]

Now use the equation [tex]m = \frac{dy}{dx}[/tex].

[tex]m = \frac{-7 - (-8)}{4-8} = -\frac{1}{4}[/tex].

Now we have [tex]m[/tex] and [tex]c[/tex], let's put them back into the general equation.

[tex]y=-\frac{1}{4} x-6[/tex]


Related Questions

Find the values of x and y

Answers

Answer:

x = 54, y = 63

Step-by-step explanation:

117° and the left base angle are adjacent and sum to 180°

base + 117° = 180° ( subtract 117° from both sides )

base = 63°

Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63

and x = 180 - (63 + 63) ← sum of angles in a triangle

x = 180 - 126 = 54

HELP ME PLSSS. ANSWER NEEDS TO BE EXPLAIN STEP BYE STEPS.CORRECT ANSWER WILL BE BRAINLIST.

Answers

Solution given.

Volume of rectangular prism=2400cm³

area of base*height=2400cm³

For A

satisfied for all

for B

not satisfied for all

for C

not satisfied for all

for D.

not satisfied for all

Option A.is your answer.

(4pq+3q)² - (4pq - 3q)²​

Answers

Answer:

48pq².

Step-by-step explanation:

(4pq+3q)² - (4pq - 3q)²​

This is the difference of 2 squares so we can use the identity

a^2 - b^2 = (a - b)(a + b):

(4pq+3q)² - (4pq - 3q)²​

= (4pq + 3q - (4pq - 3q)(4pq + 3q + (4pq - 3q)

= (4pq + 3q - 4pq + 3q)(4pq + 3q + 4pq - 3q)

= 6q * 8pq

= 48pq².

Answer:

48pq²

Step-by-step explanation:

As we know,

(a + b)² = a² + 2ab + b²

and

(a – b)² = a² – 2ab + b²

So,

(4pq+3q)² - (4pq - 3q)²​

= [(4pq)² + 2 X 4pq² X 3q + (3q)²] – [(4pq)² -  2 X 4pq² X 3q + (3q)²]

= (16p²q² + 24pq²+ 9q²) – (16p²q² – 24pq²+ 9q²)

= 16p²q²+ 24pq²+ 9q² – 16p²q²+ 24pq² – 9q²

= 24pq² + 24pq²

= 48pq²

hey! please help i’ll give brainliest

Answers

Answer: A goverment by people

Step-by-step explanation:

Find the value of x in the isosceles triangle shown below.
13
13
20
10

Answers

Answer:

X=12

Step-by-step explanation:

Khan Academy


A 300-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
The shorter piece is
inches long

Answers

Answer:

60 inches

Step-by-step explanation:

The length of shorter piece is = 1/5 × 300 = 60 inches

Can somebody please help me

Answers

Answer:

39

Step-by-step explanation:

78/2 = 39

What is the slope of the line? PLEASE PLEASE HELP FAST!

Answers

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 2) ← 2 points on the line

m = [tex]\frac{2-0}{1-0}[/tex] = [tex]\frac{2}{1}[/tex] = 2

why is this true 7a+4-2a=7a+ -2a+4​

Answers

Answer:

Step-by-step explanation:

Notice that both sides involve 7a - 2a, and both involve 4.  By the associative property the order in which the addends appear is immaterial; the left side therefore equals the right side.

Answer:

7a + 4 - 2a = 7a - 2a + 4

5a + 4 = 5a + 4

Step-by-step explanation:

7a + 4 - 2a = 7a - 2a + 4

​7a + 4 - 2a

Rearrange the terms.

7a - 2a + 4

Combine like terms.

5a + 4

The left side simplifies to 5a + 4.

7a - 2a + 4

5a + 4

The right side also simplifies to 5a + 4.

Which polynomial function has zeros at -3, 0, and 4?

f(x) = (x + 3)(x2 + 4)

f(x) = (x2 - 3)(x - 4)

f(x) = x(x + 3)(x - 4)

f(x) = x(x - 3)(x + 4)

Answers

Answer:

If 5 is zero then (x - 5) is a factor.

Only 4. has this factor.

Step-by-step explanation:

you spin the spinner shown below once. each sector shown has an equal area. what is P(ladybug)

Answers

Answer:

1/5 or 20%

All sectors have an equal area, so that means that all have an equal chance of being landed on. There is only 1 sector containing a ladybug out of all 5 sectors. That means you have a 1 out of 5 chances of landing on the ladybug if you spin once.

Marking brainliest

Please help!

Answers

Answer:

The equation for the speed of the train is: 162 = 3x

I think the speed of the train is 54 miles per hour

Step-by-step explanation:

We know that:

y = distance in miles

x = speed of train (miles/hour)

t = time traveled from the departing station (hours)

The equation: y = xt is given, we can therefore substitute the give values:

y = xt or tx

162 = 3x (This would be the equation)

Now we can find x by diving 3 on both sides of "="

162/3 = x

54 = x (This would be the speed of train)

Hope this helps!

X=y/t or 162/3
Speed is 54mph

I need help on this

Answers

Answer:

1200

Step-by-step explanation:

Step 1 convert pounds to ounces

1 pound = 16 ounces

So to convert pounds to ounces we multiply by 16

1500 * 16 = 24000

So there are 24000 ounces in 1500 pounds

Step 2 Find how many 20 ounce containers he can fill.

To find out how many 20 ounce containers he can fill we divide the total amount of ounces of butter that he has by 20

So answer = 24000/20

24000 / 20 = 1200

Therefore he can fill 1200 20 - ounce containers

The perimeter of an equilateral triangle is 57 feet. What is the length of one of its sides? ​

Answers

Answer:

19 feet, 5.7912 m

Step-by-step explanation:

perimeter=3à

57=3a

57/3=a

19=a

Mark me brainliest

Round 8.157 to the nearest hundredth.

Answers

Answer:

I believe the answer is 8.16 pardon me if it's wrong.

Answer:

8.18

Step-by-step explanation:

First, note that 8.175 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 8

Fractional Part: 175

To round 8.175 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part.

We use the following rules to round 8.175 to the nearest hundredth:

A) If the last digit in the fractional part of 8.175 is less than 5, then simply remove the last the digit of the fractional part.

B) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

C) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

D) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.

With 8.175, rule B applies and 8.175 rounded to the nearest hundredth is:

8.18

PLEASE HELP ME ASAP NEED IN FIVE MIN. PLEASE NO LINKS OR FILES. I WILL MARK BRIANYLEST AND I AM GIVEING 10 EXTRA PIONTS AS WELL.

In a survey, 9 people reported how many soft drinks they drank in the last month. Here are their responses:
29, 30, 31, 33, 35, 36, 37, 38, 87. .
Which measure should be used to summarize the data?

1. Mean
2. Median
3. Mode

Answers

Answer:

id say the mean

Step-by-step explanation:

Answer: Mean

Step-by-step explanation: It's the average value.

How can I find the area of the shaded area?​

Answers

I don’t know I thought I did

The table shows the median annual salaries of a librarian associated with two levels of education.



Based on the data in the table, how much more money would a person with a master’s degree earn than a person with a bachelor’s degree over 15-year career?

Answers

Answer:

C) $160,500

Step-by-step explanation:

52,500×15=787,500

63,200×15=948,000

948,000- 787,500= 160,500

Plz help me and plz no links first person to answer it correctly will get brainliest

Answers

Answer:

B

Step-by-step explanation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can plug in the given values to get:

(x - 1)^2 + (y - 2)^2 = 3^2

This is the sam as option B

I will mark as brillianest...plzz solve the question.

Factorize:
1) 6x²+x-2

Answers

Answer:

( 2 − 1 ) ( 3 + 2 )

Step-by-step explanation:

6 ² + − 2

6x² + 4 - 3 -2

2 ( 3 + 2 )− 1 ( 3 +2 )

( 2 − 1 ) ( 3 + 2 )

find an equivalent value to cos 18°

A) sin 18°
B) cos 72°
C) sin 72°
D cos 162°

Answers

Answer:

C) sin 72 degrees

HELP ME WITHS THIS PLEASE, I TRIED DOING IT BUT I can’t

Answers

Answer:

are you sure

Step-by-step explanation:

Answer:

Put an X on D, C, and F

G= 256

A=20

B=560 ( I'm not too sure)

H= 6

E= (I'm sorry I cant do E I have to go)

Step-by-step explanation:

please help it is due in 10 minutes​

Answers

Answer:

1.  X= 4

2.  X= 1

3. X= 3

4. X= 5

5. X= 7

6. X= -3/4

7. X= 6

8. X= 5

Step-by-step explanation:

Answer:

Look below :)

Step-by-step explanation:

1.x=4

2.×=1

3.x=3

4.x=5

5.x=7

6.x=-0.75

7.x=6

8.x=5

Hope this helps :)

Ms Kennedy took a survey and found out that 2 out of 5 students like math. If she has 60 students how many of her students are expected to like math

Answers

Answer:

24 students

Step-by-step explanation:

2/5 = x/60 ----->   24/60 = x/60  --->   24/60 = 24/60

Brainliest gets 100 points.


Write an equation for the sine wave. What is the amplitude and period?

Answers

Answer:

Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.

y=sinkx y = sin ⁡ k x goes through one complete cycle as x x goes from 0 0 to 2πk 2 π k . Math in Music. Every sine function has an amplitude and a period. Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.

What is the mean of 53,13,34,41 26,61,34,13,69?

Answers

the mean is 38.2
the 2 is repeating

Which of these expressions represents the product of t and 13
A. 13- t
B. 13t
C. 13+ t
D. 13 divided by t

Answers

Answer:

B is your answer for your math problem

A car travels 60 miles in 50 minutes. Calculate the average speed of the car in mph.

Answers

Average speed: 72 mph
Explanation:
To get the car's average speed, all you really need to know is
the total distance travelled by the car
the total time it needed to cover that distance
In your case, you know that the car travelled for a total of 60 miles and that it needed 50 minutes to do so.
Since you need to express the average speed in miles per hour, not miles per minute, you're going to have to use a simple conversion factor to get you from minutes to hours.
First, calculate the average speed in miles per minute
v
avg
=
d
total
t
total
v
avg
=
60 miles
50 minutes
=
1.2 mi/min
Now convert this value to miles per hour
1.2 miles
1
minute

60
minutes
1 hour
=
72 mph

Answer:

1.2mph

5x10=50

so it 1

if 2x5=10=.2

then 2x5=10+50=1.2 due to the .1=5

or just do 60/50=1.2

Step-by-step explanation:

In the diagram below, 'AB is parallel to cd. What is the value of y?

Answers

60 jdfjbdjdjdjd ah inebauwkwhiwiwnais

Answer:

60

Step-by-step explanation:

Find the surface area of the cone. h = 12 ft, r = 5ft, l = 13 ft

Answers

Answer:

total surface area is 267.14

Answer:

90π ft^2.

Step-by-step explanation:

SA = πr(r + l)

= 5π(5 + 13)

= 90π

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