Find the equation of the line with slope −7 which goes through the point (−5,5).
Give your answer in slope-intercept form y=mx+b.

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf y= -7x -30}}[/tex]

Step-by-step explanation:

We are asked to find the equation of a line,  given a point and a slope.

We can use the point-slope formula:

[tex]y-y_1= m(x-x_1)[/tex]

In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:

x₁ = -5 y₁= 5 m= -7

Substitute the values into the formula.

[tex]y-5= -7 (x- -5)[/tex]

[tex]y-5= -7(x+5)[/tex]

We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.

First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.

[tex]y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35[/tex]

5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.

[tex]y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30[/tex]

The equation of the line is y= -7x+30.


Related Questions

U.
15. How many correct answers would be
needed to get a score of 85% on a math
test that has forty questions?
A. 32
B. 34
C. 36
D. None of the above

Answers

Answer:

34

Step-by-step explanation:

40 questions times 0.85 equals 34

Sarah mowed 3 lawns in 9 hours what is her rate of mowing in hours per lawn?

Answers

Answer:

Sarah mowed 1 lawn in 3 hours

Step-by-step explanation:

3 lawns divided by 3 is 1 lawn

9 hours divided by 3 is 3 hours

Answer:

See below:

Step-by-step explanation:

So we know that she moves 3 lawns in 9 hours, to find how much time she takes per lawn we can divide both sides by three to get our number. We can do this due to the reason below:

[tex]\frac{3}{9}=3:9[/tex]

Due to this, we can simplify both sides by 3 and get our rate of 1 lawn per 3 hours.

Have a nice day and feel free to ask me if you need more help :D

ok. 4. 62 decreased by 2 7 co 8 anolo 5. 14 increased by 14​

Answers

Answer: Arachidonic acid (AA, sometimes ARA) is a polyunsaturated omega-6 fatty acid 20:4(ω-6), or 20:4(5,8,11,14).

Step-by-step explanation: It is structurally related to the saturated arachidic acid found in cupuaçu butter.[3] Its name derives from the New Latin word arachis (peanut), but it is important to note that peanut oil does not contain any arachidonic acid.[4]

A number, n, is divided by -1/3. The product is 6/5 what is the value of n?

Answers

Steps are attached.

Answer =》n = -2/5 = -0.4

______

RainbowSalt2222 ☔

Hamad go to buy toys for his smaller brother and he have only 5 AED each toy 1 AED cost. how much toys he will buy?

Answers

Answer:

5 because its 1 aed so if he buys 5 toys it will be 5 aeds and bye!

Step-by-step explanation:

because its 1 aed so if he buys 5 toys it will be 5 aeds and bye!

Answer: 5 any one can solve it dude

TASK 2 - Calculate the averages for the data sets below (19 marks).
Sun
protection
factor
0
30
Thickness Count on rate-meter (counts per minute)
of lead
Kk
2
3 Average
(cm)
0
446 444 449
1
231 238
240
113
111
110
3
65
63
65
4
34
31
35
Time for UV bead to change colour
(seconds)
1
2
3 Average
31 28
123 122 119
244 247 246
333 331 329
5
2.
10
15
20
448
456
449
Height from
which marble
dropped (cm)
10
1
Crater width (mm)
2
3
10
12
Heart rate (bpm)
2 3
Number of
steps
Average
1
Average
13
10
70
75
73
20
19
19
21
20
90
96
94
30
33
31
31
40
30
49
44
46
95
98
99
50
64
67
68
40
127
130
125

Answers

Answer:

abc

Step-by-step explanation:

thanks for ur patience

use the correct trig function to find the value of x. (SAH,CAH,TAH)​

Answers

Answer:

x=13.38

Step-by-step explanation:

Hi there!

We are given triangle ABC, with m<A=45°, CA=13, and BA=x

We want to find the value of x

First, let's find out which side is the adjacent, opposite, and hypotenuse

Using <A as the reference angle:

BC is the opposite

CA is the adjacent

BA is the hypotenuse

Recall the 3 most common trigonometric functions:

Sine is [tex]\frac{opposite}{hypotenuse}[/tex]

Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]

Tangent is [tex]\frac{opposite}{adjacent}[/tex]

Since we know the values of both the adjacent and the hypotenuse, let's use the cosine of <A

In reference to <A, the ratio will be:

cos(<A)=[tex]\frac{CA}{BA}[/tex]

Substituting all known values gives:

cos(45)=[tex]\frac{13}{x}[/tex]

Now multiply both sides by x

cos(45)x=13

Divide both sides by cos(45)

x=[tex]\frac{13}{cos(45)}[/tex]

Now plug [tex]\frac{13}{cos(45)}[/tex] into your calculator. Make sure that the calculator is in degree mode

x≈13.38

Hope this helps!

Calculate the volume of a cuboid whose dimensions are 3.6cm 8.2cm 11cm

Answers

Answer:

[tex] 324.72 {cm}^{3} [/tex]

Step-by-step explanation:

Given,

Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm

As we know,

Volume of a cuboid = length × breadth × height

Therefore,

Volume of the given cuboid

= 3.6cm × 8.2cm × 11cm

(On multiplying)

[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]

(On further multiplying)

[tex] = 324.72 {cm}^{3} (ans)[/tex]

Hello there! :)

V=lwh (length times width times height)

We are given that:

Length=3.6 cm

Width=8.2 cm

Height=11 cm

Plug the values into the formula for volume:

V=lwh

V=(3.6)(8.2)(11)

Multiply:

V=324.72 cm³ (cubic centimeters)

Remember, volume is measured in cubic centimeters.

Hope it helps. Please let me know if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature :)[/tex]

Simplify (-2)^4(-2) =
(3st)^2 =
7^0=

Answers

Answer:

-32

Step-by-step explanation:

/////////////////////////

Answers

Answer:

E. 945

Step-by-step explanation:

The shortest root is when you go to next level down at each move.

From the black triangle you can move to 3 triangles below. The level below has 5, then 7, then 9 triangles.

The number of shortest roots is:

3*5*7*9 = 945

Correct choice is E

while drinking 8 glasses of water a day is good for your health if each glass of water is equivalent to 148 ml how many liters of water you need to consume everyday​

Answers

Answer:

1184ml

Step-by-step explanation:

8x148= 1184

Original price of an SUV $12,000.00 Tax:5.3%

Answers

The tax would be $636 and the total cost would be $12,636 if that's what you're asking.

Kevin has copays of $30 per office visit, $150 emergency room without
hospitalization and $250 for hospitalization. He had to go to a physician's office 5 times
this year and went to the ER once with no hospitalization. His medical bills totaled
$2,826. How much did Kevin save by being insured? Make sure you show your
calculations!

Answers

Answer:

  $2526

Step-by-step explanation:

Kevin had copays of 5 × $30 for the office visits and $150 for the ER visit. His total copay was ...

  5×$30 +150 = $150 +150 = $300 . . . . amount Kevin paid

If his bills were $2826, his savings were

  $2826 -300 = $2526

Kevin saved $2526 by being insured.

PLEASE HELP ME WILL MARK BRAINLIEST AND PLZ EXPLAIN

Answers

Okay we have to begin by using the formula.
Y= a (x-h)^2 + k
Now we have to identify the vertex which is (-4,-3). Now substitute the vertex for (h,k). So now we have.
Y= a( x-(-4)^2 + (-3)
This gives us
Y = a(x+4)^2 -3
Now we have to pick a point from the graph to substitute for the x and y values. This can be any point expect for the vertex. I have chosen (-3,-1). Now let’s substitute:
-1= a(-3+4)^2-3
Now we have to solve for a:
-1=a(1)^2 -3
-1= a-3
-1+3=a
a= 2
Now that we know the value of a we can write the equation down:
Y= 2(x+4)^2 + 3

A pattern maker uses 526 yards of muslin cloth each month. The cloth comes on bolts, or rolls, that hold 15 yards each.



How many bolts of muslin cloth does the pattern maker use each month?

Answers

Answer: 35.067 or 36, depending on if you need to round or not.

Step-by-step explanation:

The equation for how many bolts the pattern maker needs can be represented as 15x = 526. To find x, divide 526 by 15. 526/15 = 35.067. If you need to, round up to the nearest whole number. 35.067 rounds to 36.

Use the correct trig function to find the value of x. SOH,CAH, TOA​

Answers

x = 18.4

Step-by-step explanation:

For this problem, we are going to use the cosine function to find x:

[tex]\cos{45°} = \dfrac{adj}{hyp} = \dfrac{13}{x}[/tex]

[tex]\Rightarrow x = \dfrac{13}{\cos45°} = 18.4[/tex]

What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules b) Petri dishes and sterile droppers c) Sterile syringes or graduated cylinders d) Measuring cups and clean, warm water

Answers

Answer:

B. Petri dishes and sterile droppers

Simplify the following expression : 3a + 6b - 7(a - 3b) + 3​

Answers

Answer:

The answer is -4a + 26b +3

answer options are:

A) (3.5, 0.5)
B) (3.6, 1)
C) (4.3, 3)
D) (4.5, 3.5)

answers B and C have a small horizontal line above the x coordinate decimal place. i have no idea what that means.​

Answers

Answer:

A) (3.5, 0.5)

Step-by-step explanation:

The small horizontal line represents that that digit is repeated to the right of the decimal point ad infinitum. Example would be the decimal equivalent of 1/9 = 0.11111111111... or 0.1 overbar

so 3.6 overbar  would be 3.6666666... or 3⅔

and 4.3 overbar would be 4.3333333... or 4⅓

With AB being 3 times longer than BC, the total distance from A to C is 4 units and AB is 3/4 of that distance.

The x value changes -2 units from 5 to 3.

The x value of B is -2(3/4) = - 1.5 from 5 or 3.5

The y value changes -6 units from A to C

The y value of B is -6(3/4) = -4.5  from 5 or 0.5

B = (3.5, 0.5)

Please help me ASAP please I need help

Answers

Answer:

147°

Step-by-step explanation:

Solving for x

To make a straight line the angles have to have a sum of 190. So 180°-33° would equal 147°

Answer:

x = 147°

Step-by-step explanation:

A line is 180°

180 - 33 = 147

plz help its so confusing

Answers

Answer:

20, 4

Step-by-step explanation:

Let's assume total number of students registered is n

Last week n/4 people are absent

so people present are n - n/4 = 3n/4

Today after return of Jen  1/5 n are absent

so people present are n - n/5 = 4n/5

which is also equal to last week present people + 1 (Jen)

= 3n/4 + 1

= (3n + 4) / 4

so (3n + 4) / 4 = 4n/5

=> 3n + 4 = 4n/5 * 4

=> (3n + 4) * 5 = 16n

=> 15n + 20 = 16n

=> 20 = n

=> n = 20

So total students registered for class is 20

today no of people absent = n/5 = 20/5 = 4

Solve the system of equations using the substitution method.

5x−4y=−15
x−3y=−3

(3, 0)

(0, -4)

(-3, 0)

(0, -3)

Answers

Answer:

(-3,0)

Step by step explanation:

make x the subject of the formula in equation 2

x-3y=-3

x = 3+3y

substitute x in equation 1

5(3+3y)-3y = -15

open the brackets

15+15y-3y = -15

15+12y=-15

12y = 15-15

12y = 0

divide both sides by 12

y = 0

substitute y in equation 2

x - 3(0) = -3

x - 0 = -3

x = -3+0

x = -3

therefore x = -3

y = 0

What is the value of w?

Answers

Answer: b = 89

Step-by-step explanation:

1. Use Supplementary Angles

180 - (b + 33)

180 - b - 33

147 - b

2. The Angles in a Triangle add up to 180.

147 - b + b - 7 + b - 49 = 180

91 + b = 180

b = 89

Hope it helps :) and let me know if you want me to elaborate.

Which graph represents the solutions to x > ?

Answers

Answer:

D because all the values are greater than the point and do not include the point

Answer:

The Answer Is D

Step-by-step explanation:

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Juan sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
352 visitors purchased no costume.
82 visitors purchased exactly one costume.
46 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a decimal to the nearest hundredth.

Answers

Answer:

So we see it goes 1 to 2 or other number but we would have to look closely because less people more thing to buy so it will probably 10 or more

Answer:

Step-by-step explanation:

the answer is 0.44

Prove: The square of an even number is even

Answers

Squares of even numbers are even, and are divisible by 4, since (2n)2 = 4n2. Squares of odd numbers are odd, and are congruent to 1 modulo 8, since (2n + 1)2 = 4n(n + 1) + 1, and n(n + 1) is always even.

Find the volume of a coffee can with r= 7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.

Answers

Answer:

2969 cm³

Step-by-step explanation:

Volume of cylinder is

V=πr²h

=π*7.5²*16.8

=2968.8

=2969 cm³

Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist. how many miles does the second cyclist bike in 45 mins?

Answers

Answer:

Step-by-step explanation:

45 minutes is 3/4 hr.

(3/4)(12 + b) = 9 + 3b/4 miles

Three classes at a junior high school raised money to buy new computers

Answers

Answer:

3x+0

Step-by-step explanation:

which of the following represents a function?
x -10 -9 0 5
y 19 17 25 19

Answers

Answer:

the correct function is x -10 -9 0 5

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