A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____.

Answers

Answer 1

Answer: y = -(3/7)x - (36/7)

Step-by-step explanation:

Let's convert -3x - 7y = 10 to standard slope intercept form: y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

-3x - 7y = 10

-7y = 3x + 10

y = -(3/7)x - (10/7)

This line has a slope of -(3/7). Any line that is parallel will have the same slope, so we can write y = -(3/7)x + b to start our new line.

We want a value of b that forces the line to go trough point (-5,-3). Use this point in the partial equation and solve for b:

y = -(3/7)x + b

-3 = -(3/7)(-5) + b

-3 = (15/7) + b

b = -3 - (15/7)

b = -(21/7) - (15/7)

b = -(36/7), or -5 1/7

y = -(3/7)x - (36/7)

Related Questions

A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.

Answers

Answer:

Step-by-step explanation:

Orbit = 2*pi * r

r = 65000000 km

Orbit = 65000000 * 2 * 3.14

Orbit = 406 200 000 km

d = 406 200 000

s = speed = 65000 km / hr

t = time = d / s

t = 406,000,000 / 65000

t = 6280 hours.

1 day = 24 hours.

t = 6280 / 24 = 261.67 days

What is an equation of the line that passes through the points (0, -4) and (-4, 6)?

Answers

I got this answer by first using the slope formula, which would result into [tex] \frac{0 - 4}{6 - 0} \\ [/tex]for which the answer would be - ⅔ Then, the y-intercept could be found easily, since you already have it., which is (0,4). Since the format for all linear equations are y=mx+b , in which b means the y-intercept and m means the slope. So then, if you substitute - ⅔ for m and 4 for b , you would get

[tex]y = - \frac{2}{3} x + 4 \\ [/tex]

(0, 2), (1,7) create a equation that passes through each pair of points

Answers

Answer:

y = 5x + 2

Step-by-step explanation:

Given the equation 5x + 2

Plug in 0

y = 5(0) + 2

y = 2

(0,2)

Given the equation 5x + 2

Plug in 1

y = 5(1) + 2

y = 7

(1,7)

Please help please please

Answers

Answer:

Step-by-step explanation:

284-5(7)²

284-(5×49)

284-245

Answer:

The Answer Is 70

Step-by-step explanation:

So first you have do the parentheses, (2+5) = 7

Then do the exponents [tex]7^{2}[/tex] 7.7 = 49

Next do the Multiplying 49.5= 214

Finally Subtract 284-214=70

I Hope This Helps You :)

24 % of 175 calculate this

Answers

Answer:

24/100x175 = 42

Step-by-step explanation:

24/100x175 = 42

What is the solution set for x^2 - 2x - 15 = 0

A. {-5, -3}

B. {5, -3}

C. {3, 5}

D. {-3, 5}

Answers

Answer:

Step-by-step explanation:

I have done this before

part A :A rocket scientist needs to find the overall thrust of a new rocket design. The rocket has two stages: Stage A and Stage B. Stage A’s thrust is defined by the expression 11.2x + 6.4 and Stage B’s thrust is defined by the expression 7.4x − 2.9.

Part b: An engineer accidentally reads the blueprints incorrectly and installs the Stage B thrusters upside-down. What is the combined thrust of the rocket if Stage A is firing normally, but Stage B is applying reverse (negative) thrust?

Answers

Answer:the answer is that if thruster b is going the opposite way it will stay in 1 place as thruster a is firing up to make the rocket fly if thruster b is going the opposite way it will just hover with that being said that's the answer

Step-by-step explanation:

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

It's the first one. We notice that for every package there are 36/3 = 12 pencils. Therefore for 4 packages there will be 4*12 = 48 pencils.

Challenge elementary school has 800 students. Every Wednesday, 12% of the students stay after school for chess. How many students attend chess club on Wednesday?

Answers

Answer:

Its 96 bro :) 96 students

Step-by-step explanation:

Basically yeah, 800 is 100% of the population yeah. So just multiply 800 times 12%. 800 x 12% is 96.

96 = 12% of 800, I hope this helps!

(6x²+2x-1)-(8x²-x-5)

Answers

Answer:

-2x^2 + 3x + 4

Hope this helps. :D

Step-by-step explanation:

Pls give brainliest.

Help please
:Ccccccccccccccccccccccccc

Answers

Answer:

1. false

2. true

Step-by-step explanation:

sorry if wrong

10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.

Answers

The given ratio becomes 6x : 3x : x.

6x = black paint

3x = green paint

x = blue paint

6x + 3x + x = 500

10x = 500

x = 500/10

x = 50

6x = 6(50) = 300

3x = 3(50) = 150

x = 50

Answer:

300 ml of the black paint.

150 ml of the green paint.

50 ml of the blue paint.

549.5 to 1 decimal place

Answers

Answer:

It is still 549.5

Step-by-step explanation:

Rounding to 1 decimal place is just rounding by the tenth place

So it is still 549.5

Hope this helps!

549.5 (still the same answer)

Last week antione had a begging balance of $90 in his account he wrote 3 checks for $10 each from his checking account , withdrew another $20 and finally made a deposit of $100. Write an expression that shows his final account balance at the end of the week

Answers

Answer:

$140

Step-by-step explanation:

90-(3x10)-20+100= 140

He started with $90: (90)

Then he wrote 3 checks of $10 each: -(3x10)

Then he withdrew $20: -20

Finally, he made a deposit of $100: +100

Thus, our equation would be: 90-(3x10)-20+100=

(You might want to simplify this expression; giving you 140)

1. How many small squares are in Step 10?

Image below

A. 10
B. 11
C. 90
D. 110

Answers

Answer:

110 squares

Step-by-step explanation:

= 10 x 11

= 110 small squares.

From the question,

Step one : • • = 1(2) small squares

Step two : • • • = 3 squares in two layers = 2(3) = 6 small squares

• • •

Step three : • • • • = 4 squares in 3 layers = 3(4) = 12 small squares

• • • •

Helppppppppppp!!!!!!!!!!!

Answers

A parallel line must have the same slope. The only one it can be is A

I don’t anderstands but i wanna help

Answers

What do you Exactly want help with

Please answer with an explanation

Answers

Answer:

-2(1-2p)

Step-by-step explanation:

-7-4p-(-5)

-(-5)=5

=-7-4p+5

=5-7-4p

=-2-4p

=-2(1-2p)

Please help me with this

Answers

Answer:

it is -16

Step-by-step explanation:

I did the math i know for sure

Please help me solve for n

Answers

To solve for N, you have to work backwards

1. Take off the absolute sigh

the absolute sign only means that the answer must be positive. So that means N could equal to positive and Negative

2. What is 1x6?

This process is called inverse operation. Where you have division, you have multiplications. The answer is 6.

3. The answer is 6 or negative 6, in the fact that -6 would equal to six in the absolute sign.

I hope this helped! If it's wrong blame me!

The diagram shows a rectangle 15cm long and 13cm wide.It has been split into four smaller rectangles. write the area of each small rectangle on the diagram.

Answers

Answer:The Answer is in the explanationStep-by-step explanation:

length of the rectangle = 15 cmBreadth of the rectangle = 13 cmArea of the rectangle = length × breadthArea of the rectangle = length × breadth = 15cm × 13cm =

[tex]195 cm^{2}[/tex]

Area of each splited rectangles =

[tex] \frac{195cm{}^{2} }{4} [/tex]

[tex]48.75 {cm}^{2} [/tex]

!! PLEASE MARK ME THE BRAINLIEST!!

AND I'M REALLY VERY SORRY IF MY ANSWER IS WRONG

Please help, question in pic

Answers

Answer:

Step-by-step explanation:

hard to explain but when you rotate 180, you can imagine that a straight line with the center of rotation as the midpoint can be drawn between the image and preimage. you want a mapped to c and you want d mapped to b. having it rotate 180 with the center of rotation being the center of the parallelogram allows you to make those imaginary lines between a and c and d and b. hope this helps

Help please
I provided screenshots of the problem below.

Answers

Answer:

This is the graph of a sine function

The y-intercept of the graph is the function value y=0

The smallest positive x-intercept of the graph is located at x=pi/2

The greatest value of y is y=2

For x between x=-pi and x=pi/2, the function value y=>0

Step-by-step explanation:

if 10 seeds are planted, what is the probability that exactly 3 don't grow?

Answers

Answer:

10:7

Step-by-step explanation:

take 10 as it is and it becomes 10

then,10-3 it is because when 3 don't grow it subtracts and becomes 7

Kindly help out with this question!

Answers

Step-by-step explanation:

33+22+90=145

180-145=35

x=180-35

x=145

You have to add all the angles inside together.
So you do 33+22+90 = 145
Then you do 180-145 which is 35 degrees.
Now you know the angle inside of x is 35. We need to find x.
Because a straight line is 180 degrees, you need to do 180-35 which is 145 degrees.
So x = 145

For what integer value of x is f(x) = -10 if f(x) = - 4x + 2?

Answers

Answer:

x = 3

Step-by-step explanation:

Given the linear function, f(x) = -4x + 2, for which we must determine the integer value of x that will provide an output of f(x) = -10:

Solution:

The first step is to substitute the output value, f(x) = -10, into the given function, and solve for its corresponding input value, x:

f(x) = -4x + 2

-10 = -4x + 2

Subtract 2 from both sides:

-10 - 2 = -4x + 2 - 2

-12 = -4x

Divide both sides by -4 to solve for x:

[tex]\displaystyle\mathsf{\frac{-12}{-4}\:=\:\frac{-4x}{-4} }[/tex]

x = 3

Hence, when x = 3, f(x) = -10.

Double-check:

Substitute the value of x = 3 into the original function:

f(x) = -4x + 2

f(3) = -4(3) + 2

f(3) = -12 + 2

f(3) = -10 ⇒ f(x) = -10.

Therefore, the input value of x = 3 gives an output value of f(x) = -10.

Problem 1: Solution to the system of equations
A line is parallel to the line for the equation: -9y = 2x + 35.
What is the slope of the parallel line?

Answers

Answer:

-2/9

Step-by-step explanation:

if the line is parallel it has the same slope.

The equation can be written as y = -2/9x - 35/9

so the slope is -2/9

Y=mx+b
mx= slope
b= y intercept

Hannah's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=7.1x+55 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the yy-value when x=1?

Answers

Answer:

Expected score with 1 hour of homework

Step-by-step explanation:

help please anybody PLEASE

Answers

Answer:

18 dimes

Step-by-step explanation:

Since Leon has ”16 fewer than” it’s a symbol to subtract

34-16=18

Answer:

34-16=18 leon has 18 dimes

Step-by-step explanation:

hope this helps

A photographer charges $12 for a set of 20 pictures. Each picture cost the same amount. At this rate, how many pictures cost $30?

Answers

Answer:

Step-by-step explanation:

20/12 = 1 2/3

30 ÷ 1 2/3

= $18

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