What is the slope of the line in the xy plane that passes through the points {-5/2 ,1} and {-1/2, 4}?

Answers

Answer 1

Answer:

m=3/2

Step-by-step explanation:

the line: y=mx+b

This line passes through the points

-> These points (x,y) are on the line

(-5/2,1) : x=-5/2  y=1

1=-5/2m+b                      

(-1/2,4) : x=-1/2    y=4

4=-1/2m+b

We have a system of equation:

1=-5/2m+b

4=-1/2m+b

After solving this, we have m=3/2   b=19/4

-> The slope is 3/2


Related Questions


Can you answer this

Answers

Answer:

6[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

First, we can start by figuring out how many nails can be produced by 1 machine in 15 minutes. Since 3 machines can produce 16 [tex]\frac{1}{5}[/tex] nails per 15 minutes, we can figure this out by dividing the number of nails produced by 3.

16 [tex]\frac{1}{5}[/tex] divided by 3 equals [tex]\frac{81}{48}[/tex] which can be simplified to 1 [tex]\frac{11}{16}[/tex]. This means that in 15 minutes, one machine can produce 1 [tex]\frac{11}{16}[/tex] nails. Since 15 minutes is 1/4 of an hour, we multiply the nails and minutes by 4, and  1[tex]\frac{11}{16}[/tex] times 4 equals 6[tex]\frac{3}{4}[/tex]. Therefore, 1 machine can produce 6[tex]\frac{3}{4}[/tex] nails in one hour.

PLEASE HELP!!!
WILL GIVE BRAINLIEST

Answers

Answer: ∠ORP and ∠ORN are a linear pair

Step-by-step explanation:

A linear pair is when two adjacent angles create a straight line, which adds up to 180°. Both ∠ORP and ∠ORN are adjacent and form a straight line, so they would be considered a linear pair.

what is the opposite of 4/7

Answers

Answer:

7/4?? I didn't understand the question.

what is the tense of she has no choice? Is it present perfect?​

Answers

Step-by-step explanation:

present......................

Simplify and express the answer in scientific notation

Answers

Answer:

2.19 *10^7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10.

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.19 *10^7

Select three ratios that are equivalent to 11:1
choose 3 answers


(Choice A)
1:11

(Choice B)
22:2

(Choice C)
55:5

(Choice D)
9:99

(Choice E)
110:10

Answers

Answer:

B, C, E

Step-by-step explanation:

22:2 is the same as 11:1

as for the others

Solve for x

1.) 15.8
2.) 18.2
3.) 48
4.) 17.6​

Answers

Answer:

90+5x+7x+3x+6=360

15x=354-90

15x=264

x=17.6

2. Danielle has read 240 pages in her book in 3 hours. Nicole has read 180 pages in 75 minutes.
Who reads faster in pages per minute

Answers

Answer:

Nicole

Step-by-step explanation:

Danielle reads four pages per min, Nicole reads 2.7 pages per min.

solve pls brainliest

Answers

Step-by-step explanation:

-35+13=-22

61-(-17)==78

.......................

what is this please help

Answers

Answer:

Absolute value means how far are you from zero on the number line.

absolute value of | -18| for example is 18  

this means that you are at -18 on the number line that is 18 points away from zero.

and absolute value of |18 | is 18

this means that you are at point 18 on the positive direction on the number line. That is 18 points away from zero.

Step-by-step explanation:

2.93 x 1.5 with work explained

Answers

Answer:

4.395

do 293x15 then after you get that answer move the decimal 3 places to the left

Step-by-step explanation:

A laptop has a listed price of $549.98 before tax. If the sales tax rate 9.5%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary

Answers

Answer:$602.23

Step-by-step explanation:

549.98*9.5(.095)=52.248>round nearest cent =52.25

549.98+52.25(tax)= $602.23

A family have 4 children. The probability of having at least one girl is 1/16.

Answers

Answer:

There’s a 50% chance that any given child is a girl, so take .5 to the 4th power and subtract it from 1, which gives you a 93.75% chance that at least one child is a girl.

Step-by-step explanation:

I don't know if it's correct,

so hope it helps

pls help me asap!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Can u answer this question

Answers

Answer:

I agree with orignial

Step-by-step explanation:

1/4+1/4=1/2

Please help with question 19, i am not sure.

Answers

Answer:

The answer is the first one "put the compass point at A and set the width to be the length of line segment AB."

Step-by-step explanation:

They have to be equal, so you'll put the compass at point A and set it to be the length of AB, then you will put compass at point C, draw an arc that intersects the line, and label the point of intersection as "B"

If measure of angle 9=97 and measure of angle 12=114 find each measure

Answers

Can u get a sc by any chance?

When f ( x ) = x 2 + 4 x + 2 , evaluate f ( − 4 )

Answers

Answer:

-22

Step-by-step explanation:

solve this equation by plugging -4 into x in the equation.

your new equation will look like

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

solve the right side of the equation to get your answer of -22

10 points right now for right answer

Answers

Your answer is 200

Hope it helps:)

Answer:

D

Step-by-step explanation:

y = 15 so 2/3 times 15 equals 30/3, which equals to 10

so far, you have 1/5 - 10 = 30

10 plus 30 equals to 40 so basically you have to find what times 1/5 equals to 40

200 times 1/5 is 40

sorry if this is too hard to understand but I tried my best to make it sound easy

(2a squared+13a-24)÷(a+8)​

Answers

Answer:

2a-3

Step-by-step explanation:

Answer

(2a²+13a-2  4):(a+8)=[tex]\frac{2a^{2}+13a-24 }{a+8}[/tex]=[tex]\frac{(a+8)(2a-3)}{a+8}[/tex]=2a-3

Step-by-step explanation:

HELP NOW I NEED ANSWERS PLEASE 99 POINTS AREE GIVEN!!!

Nathan loved learning about earthquakes in science class. He told his brother that up until a 7.8-magnitude earthquake hit Nepal in 2015, Mount Everest had been moving northeast at a rate of 7.7×10^-6 centimeters per minute. What would be the most appropriate unit for Nathan to use instead of centimeters per minute?

Answers

Answer:

If you use millimeters per minute, it would be easier.

Step-by-step explanation:

w(x) = x2 + 2 x divided by X - 1

Answers

Answer:

[tex]x+1+\frac{1}{x-1}[/tex]

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           x3 - 2x2 + 2x - 1

Simplify   —————————————————

                 x - 1      

Checking for a perfect cube :

2.1    x3 - 2x2 + 2x - 1  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 - 2x2 + 2x - 1  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  2x - 1  

Group 2:  -2x2 + x3  

Pull out from each group separately :

Group 1:   (2x - 1) • (1)

Group 2:   (x - 2) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3 - 2x2 + 2x - 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

 

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -1.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -6.00      

     1       1        1.00        0.00      x - 1  

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3 - 2x2 + 2x - 1  

can be divided with  x - 1  

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3 - 2x2 + 2x - 1  

                             ("Dividend")

By         :    x - 1    ("Divisor")

dividend     x3  -  2x2  +  2x  -  1  

- divisor  * x2     x3  -  x2          

remainder      -  x2  +  2x  -  1  

- divisor  * -x1      -  x2  +  x      

remainder             x  -  1  

- divisor  * x0             x  -  1  

remainder                0

Quotient :  x2-x+1  Remainder:  0  

Trying to factor by splitting the middle term

2.5     Factoring  x2-x+1  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  +1  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 1 = 1  

Step-2 : Find two factors of  1  whose sum equals the coefficient of the middle term, which is   -1 .

     -1    +    -1    =    -2  

     1    +    1    =    2  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6    Cancel out  (x-1)  which appears on both sides of the fraction line.

Final result :

 x2 - x + 1

 

What are some decimals for - 9/4 other than -2.25

Answers

Answer:

0.444444

How's that?

The perimeter of a rectangle is 48 inches. If the length is 2 more than the width, what is the length and width?

Only an algebraic solution is accepted

Answers

Answers:

Length = 13 inches

Width = 11 inches

=====================================================

Work Shown:

w = width, some positive number

w+2 = length, since it is 2 inches more than the width

P = perimeter of the rectangle

P = 2(width + length)

P = 2(w + w+2)

P = 2(2w+2)

P = 4w+4

We're told that the perimeter is 48 inches. So we'll set the previous result equal to 48 and solve for w.

P = 48

4w+4 = 48

4w = 48-4

4w = 44

w = 44/4

w = 11

The width is 11 inches.

w+2 = 11+2 = 13

The length is 13 inches.

----------------

Checking the answers:

P = 2(L+W)

P = 2(13+11)

P = 2(24)

P = 48

The answers are confirmed.

2L + 2W = 48

L + W = 24

(W + 7) + W = 24

W = 8.5 inches

L = 15.5 inches

Hello!!! what is 365 - 287?
FIRST TO ANSWER GETS BRAINLIEST!!!
NO LINKS PRETTY PRETTY PLEASE!!
THANKS!!

Answers

Answer

78

Step-by-step explanation:

365- 287 is 78

365-287=78

Thats the answer

If f(x) = x - 1, which of the following is the inverse of f(x)?
O A. f-'(x) = x - 1
O B. f-'(x) = 1 - x
O c. f-1(x) = x
O D. f-'(x) = x + 1

Answers

Answer:

the inverse function is the option D , x+1

Write an equation in slope intercept form for the line with slope - 3/4 and y-intercept -2. Then graph the line.

Answers

Answer:

y = (-3/4)x - 2

Step-by-step explanation:

Start with the slope-intercept form y = mx + b.  Replace m with -3/4 and y with -2.  We then have y = (-3/4)x - 2.

Graphing this line:  Knowing that b = -2, plot the point (0, -2).  Find the x-intercept by letting y = 0 in the above equation and solving for x:

0 = (-3/4)x - 2, or (3/4)x = -2, or x = (4/3)(-2), or x = -8/3.  Plot this x-intercept (-8/3, 0).  Finally, draw a line through the points (0, -2) and (-8/3, 0).

Evaluate the exponent expression for a = 1 and b = -2

A) -2
B)-1/16
C)-2/5
D)1/16

Answers

Answer:

D) 1/16

Step-by-step explanation:

use brackets

follow bedmas rule

B - brackets

E - exponent

D - division

M - multiplication

A - addition

S - subtraction

working is shown in the diagram.

1/16 hope this helps

Add the linear expressions.

(−2x+6−x)+(6x−2)

What is the sum?

Enter your answer in the box.
PLZ HELP!!

Answers

Answer:

3x+4 I think

Step-by-step explanation:

mathaway minus the second a

Answer:

3x+4

Step-by-step explanation:

k12 test

hey help me thank you.?

Answers

7/9 < 5/6

We find the LCM of 9 and 6 which is 18.

For the first fraction, 6 multiplied by 3 is 18 so we multiply both the numerator and denominator by 3 to get:

5/6 = 5*3/6*3 = 15/18

For the second fraction, 9 multiplied by 2 is 18 so we multiply both the numerator and denominator by 2 to get:

7/9 = 7*2/9*2 = 14/18

We can see that 5/6 is greater than 7/9.

7/9=14/18. 5/6=15/18

7/9 <. 5/6
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