!!!Write the equation of the line that passes through the point (-4, 6) and (1,1).

Answers

Answer 1
First, find the slope of the given points (m = y2 - y1 / x2 - x1)
m = (6-1) / (-4-1) = 5/-5 = -1
Then substitute the slope and the coordinates of either point for x and y into y = mx + b, we’ll use (-4,6)
6 = (-1)(-4) + b
Solve for b
6 = 4 + b, subtract 4 from both sides: b = 2
Rewrite y = mx + b with m = -1 and b = 2
Equation: y = -1x + 2 or y = -x + 2

Related Questions


What is the perimeter of the shaded figure?
Square unit

Answers

Answer:

16

Step-by-step explanation:

Please help me........

Answers

2x + 3 = 14

*-3 from both sides*

2x = 11

*divide by 2 on both sides*

x = 5.5


hope this helped ! <3

Which equation will not result in a negative answer?
a) Five plus its additive inverse
b) The difference of -4 and -2
c) (-8]
d) The product of a positive integer and a negative integer.
e) 7 - x>-10

Answers

D

Step-by-step explanation:

I just took the test and I got it write

What correlation is shown by the scatter plot?

Answers

linear correlation.


A6 ft tall man standing next to a tree casts a 8 ft shadow. If the tree is 15 ft tall then how long is its shadow?

Answers

Answer:

The tree's shadow is 20 ft long.

Step-by-step explanation:

If you take 6 and 15 and turn it into a fraction 6/15 and take 8 and the missing value (x) and turn that into a fraction 8/x, then you can move to the multiplication.

6/15 *8/x = 6x=120/6

120/6=20

Hope this helps :)

Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant​

Answers

Answer:

median is 3.9

Step-by-step explanation:

You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle

0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6

An oblique prism with a square base of edge length x United has a volume of 1/2 x3 cubic units. Which expression represents the heights of the prism

Answers

Answer:

The answer is x units.

Step-by-step explanation:

We are tasked to solve for the expression that represents the height of the prism. We are given with the following values:

length = x² units

volume = x³ units

We will use the formula below:

V = length x height

x³ = x² * height

height = x³/x units

height = x units

The answer is x units.

               Step-by-step explanation:

                 

How much will a $559.99 LCD TV cost including the sales tax of 6.25%?

Answers

(559.99*.0625) + 559.99 = 594.989375

log, (5x + 4) = 3x – 4

Answers

Answer:

X-4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

please help!!!!!!!!!!!! !!!

Answers

i think the answer is c

(-w^3 + 8w^2 - 3w) - (4w^2 + 5w - 7) PLS HELP in standard polynomial form plsssss

Answers

Answer:

−w^3+4w^2−8w+7v

За + 2b – 8а + Ь
Please help

Answers

Combine the like terms
3b-5a
Or -5a+3b if keeping in a certain order

Answer:

-5a+3b

Step-by-step explanation:

-5a+3b Combine like terms

I need help with this fast! Thanks!
What is the value of the expression? 9 3/4−2 1/5+1/2

_ -- > Ex: 9 1/7
I need this fast!

Answers

Answer: 8 1/20 or 8.05.

Step-by-step explanation: First you would want to make 9 3/4 - 2 1/5 to 39/4 - 11/5. We need to get the LCD or Least Common denominator of 4 and 5, which is 20. The rule is what you multiplied the denominator by you must multiply the numerator by, so our new equation is 195/20 - 44/20, which is 151/20. Now, we have to find the LCD of 2 and 20, which is 10. So 151/20 + 10/20 is 161/20 or 8 1/20.

?• (-10) = 90
Please help I need it now

Answers

Answer:

x = -9

Step-by-step explanation:

x • -10 = 90

x = 90/-10

x = -9

Hope this helped! <3

Justin drives 7.5 miles in 15 minutes. If he drove three hours in total at the same rate, how far did he go?

Answers

Answer:

Justin drove 90 miles in 3 hours.

Step-by-step explanation:

Given that:

Justin drives 7.5 miles in 15 minutes.

Speed of Justin = [tex]\frac{7.5}{15}[/tex]

Speed of Justin = 0.5 miles per minute

For speed in hours, we will multiply by 60

Speed of Justin = 0.5 * 60 = 30 miles per hour

Distance covered in 3 hours = 30 * 3 = 90 miles

Hence,

Justin drove 90 miles in 3 hours.

The total distance covered by Justin at the same rate is equal to 90 miles.

Given the following data:

Distance A = 7.5 milesTime A = 15 minutesTotal time = 3 hours

Conversion:

1 hour = 60 minutes

3 hours = 180 minutes

To determine the total distance covered by Justin at the same rate:

First of all, we would calculate the rate of Justin's speed as follows:

[tex]Speed =\frac{distance}{time} \\\\Speed =\frac{7.5}{15}[/tex]

Speed = 0.5 miles per min.

For the total distance:

[tex]Total\;distance = speed \times total\;time\\\\Total\;distance = 0.5 \times 180[/tex]

Total distance = 90 miles.

Read more: https://brainly.com/question/10545161

2(2x + 3)^2– 7(2x + 3) - 4

Answers

Answer:

Solution in photo

Step-by-step explanation:

cosa/(1+sina)+cosa/(1-sina)=2seca
prove this:)​

Answers

Answer:

Please check explanations

Step-by-step explanation:

Using the difference of two squares, the lowest common multiple becomes;

1-sin^2 a

Thus, we have that;

cos a (1-sin a) + cos a (1 + sin a) /1 - sin^2 a

1 - sin^2 a = cos^2 a

That means;

{cos a - cos a sin a + cos a + cos a sin a}/ cos^2 a

= 2cos a / cos^2 a

= 2/cos a

but 1/cos a = sec a

Thus;

2/ cos a = 2 sec a

A coat that usually cost $120.00 is marked 1/3 off. What is the sale price of the coat?

Answers

Answer:

The sale price would be $80.00

Step-by-step explanation:

1/3 (33%) of $120 is $40.

$120 - $40 = $80

Is (-3,-5) a solution of the graphed inequality

Answers

Answer:

No but (3,-2) and (-3,-4) are

Step-by-step explanation:

$288 is 6/5
of what number?

Answers

Answer:

Step-by-step explanation:

$288= 6/5x,  x being the number we are looking for

We can then divide 288 by 6/5, which is the same as (288x5)/6

This will give you 240=x, which is $240

Given that x is a nonnegative number, a student conjectured that x+3
Which value of x is a counterexample to the student's conjecture?


X= -1/3

X= -3

X= 2

X= 3

Answers

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)

Required

Which value of x prove the conjecture otherwise

To do this , we simply substitute the values of x in the options

[tex]1.\ x = -\frac{1}{3}[/tex]

This is negative;

So, there is no need to check

[tex]2.\ x = -3[/tex]

This is also negative;

So, there is no need to check

[tex]3.\ x = 2[/tex]

[tex]x + 3 < x^2[/tex]

[tex]2 + 3 < 2^2[/tex]

[tex]5 < 4[/tex]

This value of x is false because 5 is not less than 4

[tex]4.\ x = 3[/tex]

[tex]x + 3 < x^2[/tex]

[tex]3 + 3 < 3^2[/tex]

[tex]6 < 9[/tex]

what is the length of the missing side?​

Answers

Answer:

43

Step-by-step explanation:

18. The half-life of a radioactive isotope is 7 years.
Initially, there are 100 grams of the isotope.
Which expression shows the amount of the isotope
remaining after x years?

Answers

Answer:

100(0.5)^X/7

Step-by-step explanation:

That is how you would put it ;)

2x + 49 = -8 (-x-5)
Show your work please :D

Answers

Answer:

2x + 49 = -8 (-x-5)

x=-57/2

x=-28.5

because if you substitute x for 28.5, it makes it equal

Step-by-step explanation:

Hope I Helped!!!

due in a few hours, i'll give brainliest to the correct answer!!!

Answers

Answer:

Angle a=45, Angle b=45

Step-by-step explanation:

The angles are complementary angles which means they both add up to 90 degrees.  And if angles a and b are equal then its 90/2 which is 45.

WILL MARK BRAINLEST!!!!!!
What should be the first step in adding these equations to eliminate y?
8x + 3y = 2
+ 4x - 6y= -7
O A. Multiply the top equation by 4.
O B. Multiply the bottom equation by 8.
C. Multiply the bottom equation by 2.
D. Multiply the top equation by 2.

Answers

D. Multiply the top equation by 2.

Answer:

D

Step-by-step explanation:

Given the 2 equations

8x + 3y = 2 → (1)

4x - 6y = - 7 → (2)

Multiplying the top equation (1) by 2 and adding to (2) will eliminate y

16x + 6y = 4 → (3)

Add (2) and (3) term by term to eliminate y

20x + 0 = - 3

20x = - 3 ( y has been eliminated )

Y’all know what to do!

Answers

Answer:

The answer is B.

Step-by-step explanation:

Learn it yourself kid.

Answer and Step-by-step explanation:

First, look at the inequality. We see the there is a greater than or equal to sign.

That means the graphs can NOT be C or D, since those graphs only apply to inequalities with the greater than or less than sign.

That leaves us with graphs A and B.

We see the y is greater than the value, so anything above the line is filled in.

That means that graph A is the answer. Which means,

Answer choice B, graph A.

#teamtrees #WAP (Water And Plant)

In order to solve the equation below, what would be a valid first step?

4(x+8) =34−2x

Answers

Answer:

multiply 4 and x and then multiply 4 and 8

Step-by-step explanation:

Answer: x=0.3

Step-by-step explanation:

you would write the equation again

4(x+8)=34-2x    time 4 byx and the same on the other side

4x+32=34-2x           get rid of the 2x by adding 2x

6x+32=34     get rid of 32 by doing opposite and taking away

6x=2                  you want one x so divide by six on both sides

x=0.3

Let N be the universal set and A, B, C, D be its subsets given by A={x:xisaevennaturalnumber},B={x:xNandxisamultipleof3} C={x:xNandx 5},D={x:xNandx  10} Find complements of A, B, C and D respectively.

Answers

Answer:

[tex]A^{'}[/tex] = {1,3,5,7,9,....}

[tex]B^{'}[/tex] = {1,2,4,5,7,8,10,11,13,14......}

[tex]C^{'}[/tex] = {1,2,3,4,5}

[tex]D^{'}[/tex] = {10,11,12,13,14,15,......}

Step-by-step explanation:

Solution:

It is given that, Universal set is the set of all Natural Numbers.

and

Set A, Set B, Set  C, Set D are subsets of Universal set.

A = {x:x is even natural numbers} = {2,4,6,8,10,.....}

B = {x:x ∈ N and x is a multiple of 3} = {3,6,9,12,15,....}

C = {x:x∈ N and x < 5} = {6,7,8,9,10,.....}

D = {x:x ∈ N and x > 10} = {1,2,3,4,5,6,7,8,9}

U = {1,2,3,4,5,6,7,8,9,10,11,........}

Complements:

[tex]A^{'}[/tex] = U-A = {1,2,3,4,5,6,7,8,9,10,11,........} - {2,4,6,8,10,.....}

[tex]A^{'}[/tex] = {1,3,5,7,9,....}

[tex]B^{'}[/tex] = U-B =  {1,2,3,4,5,6,7,8,9,10,11,........} - {3,6,9,12,15,....}

[tex]B^{'}[/tex] = {1,2,4,5,7,8,10,11,13,14......}

[tex]C^{'}[/tex] = U-C = {1,2,3,4,5,6,7,8,9,10,11,........} - {6,7,8,9,10,.....}

[tex]C^{'}[/tex] = {1,2,3,4,5}

[tex]D^{'}[/tex] = {1,2,3,4,5,6,7,8,9,10,11,........} - {1,2,3,4,5,6,7,8,9}

[tex]D^{'}[/tex] = {10,11,12,13,14,15,......}

simplify the expression 5^-3

Answers

Answer:

It is the 3rd answer, 1/5³. I checked. Happy to help. Brainliest would be thanking.

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