What is an equation of the line that passes through the points (0, -7) and (-8, 3)?

Answers

Answer 1

Answer (assuming it can be in slope-intercept form):

[tex]y = -\frac{5}{4} x-7[/tex]  

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}[/tex]

So, the slope is [tex]-\frac{5}{4}[/tex].

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{4}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

[tex]y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7[/tex]


Related Questions

Can someone help me do 13, 14 and 15 thank u

Answers

Answer:

Step-by-step explanation:

Ms. Aluma is 165 cm tall. She wants to find her height in meters. Divide her height in centimeters by 100 to find her height in meters.

Answers

1.65 meters...........

Unit conversion is a way of converting some common units into another without changing their real value. Ms. Aluma is using the correct option.

What is Unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Given that Ms Aluma is 165 cm tall and She wants to find her height in meters. Therefore, if we divide her height in centimeters by 100 to find her height in meters.

Since 1 meter is equal to 100 cm, therefore, the method used by Ms. Aluma is correct. Therefore, the height of Unit conversion is,

Height of Ms. Aluma = 165 cm

                                  = 165/100 meters

                                  = 1.65 meters

Hence, Ms. Aluma is using the correct option.

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Find the value of x. ​

Answers

Answer:

idont have a clue

Step-by-step explanation:sorry

Answer:

38

Step-by-step explanation:

**The sum of all the angles in a triangle is 180 degrees**

So 99 + 43 + x = 180

99 + 43 = 142 degrees

x = 180 - 142 = 38

PLEASE HELP WHAT IS THE ANSWER SHOW WORK PLEASE !!!

Answers

Answer:

d = 6.1m

n = 7km

Step-by-step explanation:

To find the variables, use tan

⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]

finding d:

⇒tan 63 = [tex]\frac{d}{3.1}[/tex]

tan of 63 is 1.963

⇒ 1.963 = [tex]\frac{d}{3.1}[/tex]

multiply 3.1 on both sides

⇒ 1.963 x 3.1 = [tex]\frac{d}{3.1}[/tex] x 3.1

⇒ 6.0853 = d

round to the nearest tenth:

⇒ 6.0853 = 6.1

finding n:

⇒ tan 45 = [tex]\frac{7}{n}[/tex]

tan of 45 is 1

⇒ 1 = [tex]\frac{7}{n}[/tex]

multiply 7 on both sides:

⇒ 1 x 7 = [tex]\frac{7}{n}[/tex] x 7

7 = n

Answer:

D = 1.4, N =

Step-by-step explanation:

To get D you need to find the cosine of 63 degrees

Cosine(63) = D / 3.1

Multiply by 3.1 to isolate D :

3.1Cosine(63) = D

Put it into a calculator and you'll get 1.4.

Also, it's a 45-45-90 triangle so the 2 legs will be equal to each other.

Proof: To get N put you have to do the tangent of 45 degrees

Tan(45) = 7 / N

Now you can't to do this you have to multiply the both sides by N

N(tan(45)) = 7

Then divide both sides by (tan(45))

N = 7 / (tan(45)

Put it into the calculator and you'll get

PLS PLS HELP: GRADE 7 MATH!!!!!

Answers

Answer:

B and D

Step-by-step explanation:

find the length of x

Answers

Answer:

B

Step-by-step explanation:

Law of Sines:

Sin(a)/opposite side=Sin(b)/opposite

Sin(55)/x=sin(90)/59

Sin(55)/(Sin(90)/59)

sin(90)=1

Sin(55)/(1/59)

59Sin(55)=48.33

Please mark brainliest :)

Please help me with finding the length of AC. I’ll make this 20 points since it’s kinda long. Please don’t guess my grades depends on it

Answers

Since the triangle is a right angled, to find one side we should use the pythagoras theorem.

The longed side of the triangle is called the hypotenuse.

In equation form:  x² + y² = z²

Therefore: 12² + x² = 13²

114+x²= 169

x²= 169-114

x²= 55

x = 7.41

Therefore the length of AC = 7.41

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 12 cm, and the base has a
radius of 3.5 cm. How much water is needed to fill 50 cups?
Use 3.14 for pi and do not round your answer.

Answers

Answer: 7693cm

Step-by-step explanation:

The volume of a cone is given as:

= 1/3πr²h

where π = 3.14

radius = 3.5cm

height = 12

Volume = 1/3πr²h

= 1/3 × 3.14 × 3.5² × 12

= 153.86cm³

Therefore, the amount of water that is needed to fill 50 cups will be:

= 153.86 × 50

= 7693cm

Which of the following tables does NOT show a proportional relationship?

Answers

Answer:

B

Step-by-step explanation:

First, a proportional ratio needs to have same equivalent fraction when simplified. So, for the option B, 5/10 can reduce to 1/2 whereas 6/11 and 7/12  do not reduce to 1/2. Therefore, the option B doesn't have a proportional relationship.

Hope this helps!

I think the answer is A. <7 and <15. Am I right?

Answers

Answer:

yes u are right on the answer

Answer:

yes

Step-by-step explanation:

corresponding angles have the same measurement

Solve for x
3-4x = -29​

Answers

Answer:

x = 8

Step-by-step explanation:

3 - 4x - 3 = -29 - 3

-4x = -32

then divide both sides by -4

3-4x=-29 the answers is X=8

I need help on the stared ones( I WILL MAKE YOU BRAINIEST)!

Answers

Answer:

Step-by-step explanation:

bottom left is 13a + 2b

bottom right is 15y - 6

Answer:

1) 13a + 2b

2) 15y² - 6

Step-by-step explanation:

3a + 2(b + 5a)

3a + 2b + 10a

13a + 2b

3y² + 3(4y² - 2)

3y² + 12y² - 6

15y² - 6

(a) Write 9.1% as a decimal,
(b) Write 0.216 as a percentage

Answers

Answer:

a) 0.091

b) 21.6%

Step-by-step explanation:

a) divide by 100

b) multiply by 100

Enrique deposited $4,700 into an account. He made no additional withdrawals or deposits. Enrique earned 1.65% annual simple interest on the money in the account.

What was the balance in his account at the end of 4.5 years?

Enter the amount in the account in the box.

Answers

ANSWER = $348.975__________________

Step-by-step explanation:

principle (p) = $4700

rate (r) = 1.65%

time (t) = 4.5 years

interest = (p × r × t)÷100

= ($4700 × 1.65 × 4.5)÷100

= $348.975

__________________FOLLOW ME

The balance in his account at the end of 4.5 years is $5048.975.

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Enrique deposited $4,700 into an account.

Enrique earned 1.65% annual simple interest on the money in the account.

Time= 4.5

Now,

SI= 4700*1.65*4.5/100

SI=348.975

Total= 4700+348.875

=5048.975

Therefore, the amount after simple interest of 1.65% will be $5048.975.

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4
3.
A factory can produce 720 wagons in an 8-hour
day. What is the unit rate per hour?
sle
B.

Answers

Answer:

9

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

i think its 90 because if 720 could be produced in 8 hours then 90 are being produced each hour

which table is proportional?

Answers

answer: 1 and 3
.......

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality?


Answers

Answer:

I am sorry but i need more information to anwser this question. I need to be able to see the symbol in order to help you. Have a great day! I hope you got them right!

Answer:

no :)

Step-by-step explanation:

Find the slope: (0,5) and (1,2)​

Answers

Answer: wym and need more info like a pic or so

Step-by-step explanation:

Comparing Positions on a Grid

15. Use the points (21, 38), (38, 25),
(25, 38), and (38, 25).
a) Which point is farthest left?
b) Which point is farthest right?
c) Which point is highest up?
d) Which point is lowest down?

Answers

Answer: C

Step-by-step explanation: I help ;) please give me brainliest

I believe that the correct answer is B

help!! i’m super confused on these math question explain !!

Answers

You are being asked to draw a line perpendicular to the graphed line which passes through the point (-6,5)

The slope of a perpendicular line is the opposite reciprocal: meaning you change the sign (from - to + or from + to -) and flip the numerator and denominator (for example if your slope is -2, the perpendicular line’s slope would be 1/2).

First, find the slope of the graphed line. The two points you are given are (-1, 4) and (-2, 7). The formula for slope is m = (y2 - y1) / (x2 - x1) where m is the slope, and (x1, y1) and (x2, y2) are points. Plugging these points into the slope formula you get:
m = (7-4)/ (-2+1) = 3/-1 = -3.

The opposite reciprocal of -3 is 1/3, so the slope of the new line is 1/3.

In slope-intercept form, equations look like this: y = mx + b. M is your slope, and b is your y-intercept. You know the slope of the perpendicular line is 1/3 but still need to find the y intercept. To do this, first plug in your slope to the formula: y = 1/3x + b. Next, plug in (-6,5) to the equation for x and y and then solve for b.
5 = 1/3(-6) + b
5 = -2 + b
7 = b

Now you know what b is, you now have the full equation of the line: y = 1/3x + 7. You can now graph the line, too.

For #2, you are being asked to draw a line parallel to the graphed line which passes through the point (6,5)

The slope of a parallel line is the same as the slope of the original line.

The two points you are given are (-6,0) and (0,9). Plug these into the slope formula:
m = (9-0)/(0+6) = 9/6

The equation of the parallel line so far is y = 9/6x + b

Plug the point (6,5) into the equation to solve for b.
5 = 9/6(6) + b
5 = 9 + b
-4 = b

The equation is y = 9/6x -4. Now you just have to graph it.

I hope this helps :)

Find MP.
the measure of MP is

Answers

Answer:

54

Step-by-step explanation:

54

cv0627 answer this :))

Answers

they took my first answer off, so i came back. but honestly thank you for the points. have an amazing day!

NEED ASAP!!

Name all the radii shown on this circle. Select all that apply.

Answers

All the radii are-

SO

RO

AO

BO

Answer:

O to S

O to R

O to B

O to A

Step-by-step explanation:

Radius is any line that connects the center of the circle to a point on the circle.

Find the value of x.

Answers

Answer:

74

x-48+35+299=360

x+286=360

x=360-286

x=74°

Answer:

x= 74

Step-by-step explanation:

360-299= 61

61-35= 26

_-48=26 or 48+26=_

48+26= 74

If the sales tax rate is 7.5%, then how much sales tax would you pay for a $25 pair of pants?

Answers

Answer:

$26.88

Step-by-step explanation:

25(1.075) ≈ 26.88

Answer:

You'd pay $26.88

Step-by-step explanation:

So, you do 7.5%(25).

Then, you have 1.875, which rounds to 1.88

Next, you add 1.88 to 25.

Finally, you got your answer, $26.88

Formula of perimeter square is
a) L×B
b) 2×(L+B)
c) 4×side

Answers

Answer:

B

Step-by-step explanation:

Name a pair of Vertical Angles.

Answers

Vertical angles are a pair of non-adjacent angles formed when two lines intersect. you only told me to name a pair but i dont  know what u mean you didn't give a diagram.

Find the product.

0.46 x 0.23
A. 0.0230
B. 0.1058
C. 0.01058
D. 0.958

Answers

The answer is letter B) 0.1058

Answer: it is b

Step-by-step explanation:

Can someone please help me I'm stuck on this question im in desperate need of help

Answers

Answer:

A

Step-by-step explanation:

Point L's coordinates' difference is 7.

Point C's is 1.

Point H's is 2

And Point A's is 1

Hope that helps!

Answer:

A) Point L

Step-by-step explanation:

Point L (8,1)

8 for the x-axis and 1 for the y-axis

So the difference =(8-1-=7

While point A=(9-10)=-1

Point C=(2-3)=-1

Point H=(4-6)=-2

Write a rule for the function.
24.
Input, x
Output, v
0
6
1
7
8
25.
1
Input, x
Output, y
0.1
10
0.3
30
20

Answers

Answer:

:--------------------------------)

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