Write the equation of a line that is parallel to y = -x + 7
and passes through the point (-4, 1). Write your answer
in slope-intercept form, y = mx + b.

Answers

Answer 1

Answer:

y= -x-3

Step-by-step explanation:

A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.

We get...

y= -x+b

1= -(-4)+b

1=4+b

b=-3

Our final equation is y=-x-3

Hope this helped


Related Questions

The area of a rectangle is 588 in^2. The ratio of the length to the width is 4:3. Find the length and the width

Answers

Answer:

Length is 336 in, width is 252 in

Step-by-step explanation:

Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is  4:3, multiply 84 by 4 for the length and 84 by 3 for the width.

The length and the width of the rectangle are 28 in and 21 in, respectively.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

Let's assume the length of the rectangle is 4x, and the width is 3x, where x is a common factor.

The area of a rectangle is given by the formula:

Area = Length × Width.

Given that the area is 588 in², we can set up the equation:

(4x)(3x) = 588

12x² = 588

Dividing both sides of the equation by 12:

x² = 588 / 12

x² = 49

Taking the square root of both sides:

x = √49

x = 7

So, x = 7.

Now we can find the length and width:

Length = 4x = 4(7) = 28 inches

Width = 3x = 3(7) = 21 inches

Therefore, the length of the rectangle is 28 inches, and the width is 21 inches.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

Which statement is correct about the system of linear equations graphed below?
O The system of equations has one solution because the lines will eventually intersect.
The system of equations has one solution because the lines will never intersect.
O The system of equations does not have one solution because the lines will eventually intersect.

Answers

Answer:

2

Step-by-step explanation:

5(2x - 5) + 10x = 75

Answers

Answer:

x = 5

Step-by-step explanation:

5(2x-5) +10x = 75

10x -25 +10x = 75

20x - 25 = 75

20x = 100

x = 5

What’s the answer for this equation?

1/2 * (1, 341 + 625)

Answers

Answer:

1,966 I think

Step-by-step explanation:

Answer:

982.5

Step-by-step explanation:

Always do the parenthesis first

1/2 * 1, 341 + 1/2 * 625

670 + 312.5

982.5

At 9 AM, one share of Starbucks stock was $47. By 1 PM the price was $52. The rate the Starbucks stock value was changing is $ ___ per hour.
How would I solve this?

Answers

Answer:

$1.25/hour

Step-by-step explanation:

9am to 1 pm = 4 hours

52-47=5

5/4 = $1.25/hour

What is the solution to the system of equations?

Answers

Answer:

y=-5x+30

y=-5×10+30

y=-50+30

y=-20

x=10

A bicyclist rides 1/2 mile in 1/22 hour. Write this rate as a unit rate

Answers

1/6 ÷ 1/90
(1/6)(90/1)
15

Find X.
Math it’s.com

Answers

Answer:

value of x = 8

Step-by-step explanation:

well here,

line x is parallel to the line measuring 18

so the two triangles are similar to each other

hence ratio of their sides are equal

so 6/ 12 = x/ 16

=》1/2 = x/16

=》 x = 16 / 2

=》 x = 8

i hope u got it

have a nice day

Answer:

x = [tex]\frac{16}{3}[/tex]

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is

[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )

18x = 96 ( divide both sides by 18 )

x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]

Diameter = 18 cm
What is the area of the given circle? Use 3.14 for it.
A)
56.52 cm2
B)
254.34 cm2
C)
324.09 cm2
D)
1017.36 cm2

Answers

Answer:   B. 254.34 cm^2

Step-by-step explanation:

The area of a circle is pi times the radius squared.

Using the diameter we have to find the radius.

The diameter is two times the radius meaning that the radius is half the diameter.

18/ 2 = 9

The radius will be 9 cm

Now using the formula   v= pi * r^2    ,  input the value for pie and the radius and solve for  v  the volume

v = 3.14 * 9^2

v= 3.14 * 81

v = 254.34 cm^2

Answer:

The answer would be B) 254.34 cm2

Step-by-step explanation:

true or false prime numbers are closed under subtraction?

Answers

Answer:

false

Step-by-step explanation:

Hi I have my answer in I’m just confused and think it’s gonna be wrong so could u guys help me

Answers

Answer:

I believe the first one is rotation And the second is ABC= DEF.

Step-by-step explanation:

My geometry is really rusty so I apologize if they’re wrong

ay someone help me out please?

Answers

Answer:

a, c, and d

Step-by-step explanation:

A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note that the volume of a cube a square is s(2) , where is the side length. Explain.

Answers

Answer:

The difference between their volumes is [tex]237.375ft^3[/tex]

Step-by-step explanation:

The attachment completes the question.

For cube 1:

[tex]s_1 = 8ft[/tex]

For cube 2:

[tex]s_2 = 6.5ft[/tex]

Required

The difference in their volumes

First, we calculate the volume of box 1

[tex]V_1 = s_1^3[/tex]

Substitute 8 for s1

[tex]V_1 = 8^3[/tex]

[tex]V_1 = 512ft^3[/tex]

Next, we calculate the volume of box 2

[tex]V_2 = s_2^3[/tex]

Substitute 6.5 for s2

[tex]V_2 = 6.5^3[/tex]

[tex]V_2 = 274.625ft^3[/tex]

The difference is then calculated as:

[tex]Difference = |V_1- V_2|[/tex]

[tex]Difference = |274.625- 512|[/tex]

[tex]Difference = |-237.375|[/tex]

[tex]Difference = 237.375[/tex]

Hence, the difference between their volumes is [tex]237.375ft^3[/tex]

(a) Principal
Rs. 500
Rate (R)= 3%
Time = 3 years​

Answers

Step-by-step explanation:

s.i=prt

=500×0.03×3

=45

0+2=-2/3(x-6)
What is X?

Answers

Answer:

x=3

Step-by-step explanation:

Hope it helps youuuuuu

The answer is X= 3
good luckk

What is the Greatest Common Factor of 16 and 72?

Answers

Answer:

8

Step-by-step explanation:

there really isn't a huge explanation just that both can have 8 go into it equally lol

3(y + 8) = 2y - 6, when y = 30​

Answers

Answer:

Statement is not true

Step-by-step explanation:

left side of the equation is 114 and the right side equals 54

A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?

PLEASE ANWSER SERIOUSLY

Answers

Answer:

im pretty sure its 56.25 cus 45= 80% of 56.25

Step-by-step explanation:

What is the value of x?
45°
m
1(2x - 5)°
n

Answers

Answer:

x = 70

Step-by-step explanation:

The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then

45 + 2x - 5 = 180, that is

2x + 40 = 180 ( subtract 40 from both sides )

2x = 140 ( divide both sides by 2 )

x = 70

Can someone please help me

Answers

Answer:

y=89

Step-by-step explanation:

because if you take y-47 okay then you do 47+42 giving you what that ange is because they are the same angle they should both be 42

Please help me 15 points for doing both 3 and 4

Answers

ok what you need in 3 and 4

Answer:

free points

Step-by-step explanation:

hahaha

What is the solution to this inequality?
-6x + 5 > -1

A: x > -1
B: X 1
D: X < -1

Answers

Step-by-step explanation:

-6x + 5 > -1

-6x > -6 (subtract 5 on both sides)

x < 1 (divide -6 on both sides, flip the sign)

Hence the answer is x < 1.

Answer:

b i hope

Step-by-step explanation:

Find AB
D
A
5x B 4x + 3 C
AB

Answers

Answer:

15 units

Step-by-step explanation:

ΔADC is an isosceles triangle because it has 2 equal sides

AB = BC       (DB is median so cuts AC into 2 equal parts)

AB = 5x, BC = 4x + 3

      5x = 4x + 3

5x - 4x = 4x - 4x + 3          (subtracting 4 from both sides)

        x = 3

AB = 5x

     = 5(3)

     = 15 units

Happy to help :)

The length of [tex]AB[/tex] is required.

The length of [tex]AB=15[/tex]

Triangles

[tex]AB=5x[/tex]

[tex]BC=4x+3[/tex]

The given triangle is an isosceles triangle with a line perpendicular to [tex]AC[/tex] passing through [tex]D[/tex].

This means that [tex]AB=BC[/tex]

[tex]5x=4x+3\\\Rightarrow 5x-4x=3\\\Rightarrow x=3[/tex]

[tex]AB=5x=5\times3\\\Rightarrow AB=15\ \text{units}[/tex]

Learn more about triangles:

https://brainly.com/question/1675117

Using the diagram below, find DE.

Answers

Answer:

I found it

Step-by-step explanation:

Find XY. (help pleaseee)

Answers

Answer:

XY = 15

Step-by-step explanation:

Its in the image.

I used Pythagoras theorem in solving for the unknown side.

Sorry for the rough working


What is the slope of the line?

Answers

Answer:

Step-by-step explanation:

by inspection.. ( looking at the graph)  we can see that the slope is down hill. so it's going to be negative and also  slope = rise / run     [rise is negative in this question] soo ... i'm looking carefully to see where the line is crossing the grid marks exactly .. it looks like to me  (-3,1) and (2,-3)   you tell me if that looks right... if it does .. then the rise / run is 4/5  and this is a negative slope  sooo  

- 4/5

:)

There are 25 students in the class. 36% of the students ate hotdogs for lunch. How many students ate hotdogs?​

Answers

Answer:

9

Step-by-step explanation:

25 times .36 is 9!

I hope this helps!

Answer:

36% x 25= 9

9 students ate hotdogs

Step-by-step explanation:

just find out how many students are 36% of the class, all i did was take the precent of the class and multiplied it by the number of students in the class in this case 25

What is the equation of the line that passes through the point (6, -6) and has a slope of -5/3 ​

Answers

Answer:

y= -5/3x + 4

Step-by-step explanation:

hope this helps :)

3y - 15 =y + 1 solve for y

Answers

A n s w e r:

y = 8

Hope this helps!

CLASS
Joanna had four candy bars
. She wanted to find out how many people could share the bars if each person
received- of a bar. Use the candy bar picture below to help you.
What is the answer to Joanna's question?
4.

Answers

Complete question :

Joanna had four candy bars. She wanted to find out how many people could share the bars if each person received 2/3 of a bar. Use the candy bar picture below to help you.

What is the answer to Joanna's question?

Kindly find attached candy bar picture below

Answer:

6 people

Step-by-step explanation:

From the picture, each candy bar has already been divided equally into 3. Since we have 4 candy bars. The total number of divisions we have is ; (3 * 4 = 12 candy units).

Since each person is taking 2/3 of a bar, this is equal to 2 units of candy

Hence, number of people who could share the bar :

Total units or division / units person

12 / 2

= 6 people

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