Line CD passes through points C(1, 3) and D(4, -3). If the equation of the line is written in slope-intercept form, y =mx + b, what is the value of b?
0-5
0 -2
0 1
O 5

Answers

Answer 1

Answer:

5

Step-by-step explanation:

In the slope- intercept form of y= mx +b, m is the slope and b is the y- intercept.

Let's find the slope using the formula below:

[tex]\boxed{slope = \frac{y1 - y2}{x1 -x 2} }[/tex]

[tex]m = \frac{3 - ( - 3)}{1 - 4} [/tex]

[tex] m = \frac{3 + 3}{ - 3} [/tex]

[tex]m = \frac{6}{ - 3} [/tex]

m= -2

Substitute m= -2 into the equation:

y= -2x +b

To find the value of b, substitute a pair of coordinates into the equation:

When x= 1, y= 3,

3= -2(1) +b

3= -2 +b

b= 3 +2 (+2 on both sides)

b= 5

Thus, the 4th option is correct.


Related Questions

A manufacturer produces jeans in 9 sizes, 7 different colors, and 6 different stitching patterns. If a
branch store manager orders two pairs of each possible type, how many pairs of jeans will he expect to have delivered?

Answers

Answer: 756 pairs

Step-by-step explanation: 9*7*6 = 378 difference jeans Times 2 since we want 2 pair of each possibility = 756 jeans delivered.

The number of pairs of jeans will he expects to have delivered will be 756.

What is the combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

It is given that a manufacturer produces jeans in 9 sizes, 7 different colors, and 6 different stitching patterns.

The number of pairs of jeans will he expects to have delivered will be calculated as below:-

9 x 7 x 6 = 378  

Two pairs of each will be,

378   x 2 = 756.

Therefore, the number of pairs of jeans will he expects to have delivered will be 756.

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What is an equivalent expression for 24+49

Answers

Answer:

20 + 4 + 40 + 9

Step-by-step explanation:

20 + 4 is 24 and 40 + 9 is 49, so it's pretty much the same thing.

811 is equivalent to

Answers

Answer:

811 inches is equivalent to 20.5994 meters

811 is also equivalent to 811/1

Rewrite in factored form, do not solve
X^2-x-56=0

Answers

Answer:

[tex] {x}^{2} - x - 56 = 0 \\ { \boxed{ (x - 8)(x + 7) = 0}}[/tex]

what’s the inequality of -2x+4>10

Answers

Answer:

x > -3

Step-by-step explanation:

-2x + 4 > 10

-2x (+ 4 - 4) > 10 - 4

-2x > 6

-2x/-2 > 6/-2

x > -3

Answer:

× < -3

Step-by-step explanation:

Move constant to the right hand side and change its sign

-2x > 10 - 4

Subtract the numbers

-2x > 6

Divide both sides by -2 and flip the sign

x < -3

Worked example3 is = 21 ​

Answers

Answer:

hahahaha

Step-by-step explanation:

lol

lol

lol

lol

lol

okay

Can someone please help? Thanks

Answers

6383 THATS the answerr! I just did it.


Use deductive reasoning to prove that x = 10 is the solution equation 3x – 7 = 23. Be sure to
justify each step in your proof.

Answers

Answer:

Step-by-step explanation:

3x-7=23

<=> 3x = 23 + 7

<=> 3x = 30

<=> X = 30 ÷ 3

<=> X = 10

What’s the answer. Please hurry I’m being timed

Answers

Answer:

C

Step-by-step explanation:

C is the correct answer

13x - 2 (8 + 5x) = 12 - 11x

A) -4/7
B) 28/29
C) 2
D) 4

Answers

Answer:

[tex]13 x - 2(8 + 5x) = 12 - 11x \\ 13x - 16 - 10x = 12 - 11x \\ x \: terms \: togather \\ 13x + 11x - 10x = 12 + 16 \\ 14x = 28 \\ x = \frac{28}{14} = 2 \\ thank \: you[/tex]

Answer:

x=2

option c.

Step-by-step explanation:

13x - 2 (8 + 5x) = 12 - 11x13x-16-10x=12-11x13x-10x-16=12-11x3x-16=12-11x3x+11x=12+1614x=28x=28/14x=2

Hence, option c. is the correct answer

A volleyball team has $800 to spend on uniforms. After coach buys the uniforms
for 15 players, the team had $20 left. How much did each uniform cost?

Answers

Answer: Each uniform was $52

Step-by-step explanation: 780 divided by 15 is 52 therefore each uniform costs $52

x+-2= I need help with this

Answers

Answer: x=3

Step-by-step explanation:  Hope I helped trust me I am really good at math.

What is the remainder when (x^3+1) is divided by (x^2 - x + 1 )

Answers

Answer: D: 0

Step-by-step explanation:

Without doing a long division.

[tex]Remember:\\\\\\\boxed{a^3+b^3=(a+b)(a^2-ab+b^2)}\\\\\dfrac{x^3+1}{x^2-x+1} =\dfrac{(x+1)(x^2-x+1)}{x^2-x+1} =x+1\\\\remainder\ is\ 0\\\\Answer\ D\\[/tex]

Solve for x.
z=(7+x)k

Answers

Answer:

x=(z-7k)1/k

Step-by-step explanation:

z=(7+x)k

open the blanket

z=7k+kx

kx=z-7k

x=(z-7k)1/k

Simplify by using order of
operations.

Answers

Answer: 5

Step-by-step explanation:

12/6+12+3/5

2+12+3/5

2+15/5

2+3

5

For any two integers x and y, | x + y | = | x | + | y |
true or false

Answers

False.
|-5|+|5| ≠ |-5 +5|
5+5 ≠ 0

PLEASE PLEASE PLEASE HELP
Karen got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 13 cents per yard. If after that purchase there was $19.28 left on the card, how many yards of ribbon did Karen buy?

Answers

44

Step-by-step explanation:

25 - 19.28 = 5.72

5.72 × 100 to change from dollar to cents

572

572 ÷ 13 = 44 yards of ribbon karen bought

135. Wages An employee is paid $640 per week plus $24 for each hour of
overtime worked. Express the employee's weekly pay in terms of the
number of hours of overtime worked.

Answers

640+24x

x is the amount of hours

7 grade math please help

Answers

Answer:

Step-by-step explanation:

-3.4 is the lowest temperature.

Coldest temperature is -3.4 is recorded at 3:00 pm

The temperature closest to freezing point of water is -0.15

Answer:

Step-by-step explanation:

3:00pm is the coldest

12:00pm is the closest to freezing

binary calculation additional 1101+101​

Answers

Answer:

¡Hello!

[tex]1101 + 101 = 1202[/tex]

Espero haberte ayudado :)

Fencepost Problem: You need to build one side of a fence that is 12 yards long. This
fence will be built with fenceposts and rails that connect one fencepost to another. If
each fencepost is 1 yard away from the next fencepost, how many fenceposts will be
needed for this side of the fence? How many fenceposts will be needed for a side of
a fence that is N (where N > 0) yards long?

Answers

The fence needs to start with a post so if it is 12 yards long it will need 13 fenceposts.

In general, if the fence is N yards long it will need N + 1 fenceposts

If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area

Answers

Answer:

Step-by-step explanation:

Answer:

If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area

Step-by-step explanation:

13. You are debating about whether to buy a new computer for $800.00 or refurbished computer with the same equipment for $640.00. If you are paid
$10.00/hour and your deductions
are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the new computer?
89 hours

98 hours

87 hours

111 hours

Answers

98 hours long or somewhat

The number of hours to work to pay for the new computer is 111 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The cost difference between the new and refurbished computer is $800.00 - $640.00 = $160.00. This means that you would save $160.00 by buying the refurbished computer instead of the new one.

Let's say you work for "x" hours, then your gross pay will be:

A = 10x dollars

Your FICA deduction will be 7.65% of your gross pay:

0.0765 ( 10x ) = 0.765x dollars

Your federal tax withholding will be 12% of your gross pay:

0.12 ( 10x ) = 1.2x dollars

Your state tax withholding will be 8% of your gross pay:

0.08 ( 10x ) = 0.8x dollars

The total amount of taxes that will be deducted from your paycheck is the sum of these three amounts:

0.765x + 1.2x + 0.8x = 2.765x dollars

So your net pay will be:

10x - 2.765x = 7.235x dollars

On simplifying the equation , we get

Now, we can calculate the number of hours you would need to work to pay for the new computer:

800 = 7.235x

x ≈ 110.5 hours

Hence , the number of hours is x = 111 hours

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Donovan is measuring the angles of a triangle. He uses the first two angles and gets 10° and 120° what should be the measurement of the third angle

Answers

Answer:

50°

Step-by-step explanation:

The sum of a triangles' angles is 180°

Now set up an equation:

180 - (10 + 120) = ___

180 - 130 = 50°

juantia spent 3/4 of he allowance at the mall. Of the money spent at the mall 1/2 was spent on new earphones. what part of her allowance did juantia spend on earphones.

Answers

Answer:

3/8

Step-by-step explanation:

Juanita spent 3/4 of her allowance at the mall. Of the money spent at the mall, 1/2 was spent on new earphones. What part of her allowance did Juanita spend on earphones?

Correct Answer: 3/8

Which is the graph of y = -3?

Answers

the first option because y is up and down and it’s negative 3

Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play, Kenny buys 2 software packages and 5 months of game
play. Each software package costs $45. If their total cost is $205, what is the cost of one month of game play?

Answers

10 because 45x3=135 205-125=70 70 divided by 7 equals 10

1: n/-3 - 8 < 17
2: n/-2 + 11 > 17

Answers

Answer:

1: n > -75

2: n < -12

Step-by-step explanation:

1: n/-3 - 8 < 17

n/-3 (- 8 + 8) < 17 + 8

n/-3 < 25

n/-3(-3) < 25(-3)

n < -75

n > -75 (switch symbol when you divide or multiply by a negative number)

2: n/-2 + 11 > 17

n/-2 (+ 11 - 11) > 17 - 11

n/-2 > 6

n/-2(-2) > 6(-2)

n > -12

n < -12 (switch symbol when you divide or multiply by a negative number)

3. A solid has twelve more edges than faces. How many vertices does it have?

Answers

Answer:

14

Step-by-step explanation:

Faces= F, Vertices= V and Edges= E

Here,

we have: E = F+12

Now, according to Euler's Formula:

V-E+F=2

V-(F+12)+F=2

V-F-12+F=2

V-12=2

V=14

Which list shows all the factors of 36

Answers

1,2,3,4,6,9,12,18,36
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