A line passes through the points (-4, 8) and (3, -7).

Answer all parts of the question.

Part A: What is the slope of the line that passes through these points.

Part B: What is the equation of the line that passes through these points.

Part C: Where does the line intersect the x-axis and y-axis?

Answers

Answer 1

Answer: (hope I got them correct)

A) -15/7

B) [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex]

C) It cuts the x-axis at (-4/15,0) and the y-axis at (0,-4/7).

Step-by-step explanation:

A) Slope = [8-(-7)]/(-4-3) = -15/7

B) Let [tex]y=-\frac{15}{7}x+c[/tex] be the required equation.

Substitute x=-4, y=8.

8=(-15/7)(-4)+c

c=-4/7

The equation is therefore [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex].

C) Substitute y=0, we will get x = -4/15 i.e. it cuts the x-axis at (-4/15,0).

Substitute x=0, we will get y = -4/7 i.e. it cuts the y-axis at (0,-4/7).


Related Questions

Solve -2a - 5 > 3
Which graph shows solutions
I-Ready diagnostic

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2a-5>3  Equation/Question

Step 2

-2a-5>3  Simplify

-2a-5>3

Step 3

-2a-5>3  Divide

answer

a<-4

Hope this helps

Find the volume of the figure. Round your answer to two decimal places, if needed

Answers

Answer:

[tex]\mathrm{A. \:756\:in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 6x9x14.

Therefore the volume of this prism is:

[tex]6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}[/tex].


13. Becky is playing with marbles. Of the marbles 2/3
of them are green. Among the green marbles, 1/4
of them also have polka-dots. What fraction of
Becky's marbles are green and have polka-dots?

Answers

Answer:

2/3 x 1/2 = 1/6

Step-by-step explanation:

Which of the following represents y as a function of x?

Answers

Answer:

The table only represent s y as function of x

Easy math (17 points))

Answers

Answer:

A-8.25  B-43.2 C-248.5

Step-by-step explanation:

Answer:

A-8.25

B-43.2

C-248.5

Step-by-step explanation:

please send answers ​

Answers

Answer:

multiple 10.5x10.5 and then 7x7 and then add both answer s

Step-by-step explanation:

Answer is explained above

que porcentaje de 108 es 81?​

Answers

el porcentaje es 75%

3 more than x is less than 6

Answers

Answer:

x = 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

its complicated to explain sorry, but trust me

The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n - 1

Work out the three numbers that are in both sequences and also between 20 and 40

Answers

Answer:

The three numbers are 23, 29 and 35.

Step-by-step explanation:

Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.

To find: The three numbers that are in both sequences and also between 20 and 40.

Consider both the sequences.

Put n = 11 in the nth term 2n+1, we get 23.

So, the 11th term of first sequence is 23.

Now put n = 8 in the nth term 3n-1, we get 23.

So, the 8th term of the second sequence is 23.

Therefore, first number that is in both sequence and lies between 20 and 40 is 23.

Now put n = 14 in the nth term 2n+1, we get 29.

So, the 14th term of first sequence is 29.

Put n = 10 in the nth term 3n-1, we get 29.

So, the 10th term of the second sequence is 29.

Therefore, second number that is in both sequence and lies between 20 and 40 is 29.

If we put n = 17 in the nth term 2n+1, then we get 35.

That is, 17th term of first sequence is 35.

Now we put n = 12 in the nth term 3n-1, then we get 35.

That is, 12th term of second sequence is 35.

So, third number that is in both sequence and lies between 20 and 40 is 35.

Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.

factor polynomial
x^ + 9x + 20​

Answers

(x+4)(x+5) is the factored form

Which mixed number is equivalent to the improper fraction?
14/9

Answers

Answer: 1 5/9 (one and five-ninths)

Please help me I will give you 10 points

Answers

Answer

Multiply 8 and 4

Step-by-step explanation:

start from left to right so you wanna start by dividing and multiplying first in evaluating

Give the coordinates of each transformation of (2, –3)
1. horizontal translation of 5
2.vertical translation of –1
3.reflection across the x-­axis
4. reflection across the y­-axis

Answers

Answer:

Step-by-step explanation:

1). The graph of y=f(x) is translated 3 units to the right. The equation that ... 2) The graph of y=g(x) is transformed by horizontally expanding it by a factor of 35 and translated 5 units to the left. ... -reflection over x- axis.

A band expects to put 16 songs on their next CD. The band writes and records 37.5​% more songs than they expect to put on the CD. During the editing​ process, 50​% of the songs are removed. How many songs will there be on the final​ CD?

Answers

answer:

- this is multi-step problem

16 X 1.375 = 22 songs (37.5% was added)

22 X .5 = 11 songs (50% was removed)

final answer: 11 songs.

Please help me! I'm really stuck on this question!

Answers

i think the answerd is a

need help asap please

Answers

Answer:

[tex]\displaystyle 77[/tex]

Step-by-step explanation:

Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ‍♂️

I am joyous to assist you at any time.

How much change should Mack get back when he uses $20.00 to pay for purchases totaling $14.35?

Answers

Answer:

5

Step-by-step explanation:

i anserwed it on the test

A group of friends really love to go bowling together. Here are a set of final scores from a recent bowling trip:

147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110

Required:
What is the mean?

Answers

Answer:

[tex]Mean = 109.364[/tex]

Step-by-step explanation:

Given

[tex]Data: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110[/tex]

Required

Calculate the mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

In this case:

[tex]n = 11[/tex]

So, we have:

[tex]Mean = \frac{147+ 160+ 80+ 110+ 121+ 164+ 62+ 90+ 76+ 83+ 110}{11}[/tex]

[tex]Mean = \frac{1203}{11}[/tex]

[tex]Mean = 109.364[/tex] -- approximated

who knows this answer ?!!​

Answers

Answer:

D is the answer

Step-by-step explanation:

twice as many children is 24 because 12x2 is 24

ank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains30 gallons of water in which 5 pounds of salt has been dissolved. A brine mixture with a concentrationof 0.5 pounds of salt per gallon of water is pumped into tank A at the rate of 4 gallons per minute.The well-mixed solution is then pumped from tank A to tank B at the rate of 6 gallons per minute.The solution from tank B is also pumped through another pipe into tank A at the rate of 2 gallonsper minute, and the solution from tank B is also pumped out of the system at the rate of 4 gallons perminute. Find the differential equations with initial conditions for the amounts,x(t)andy(t), of saltin tanks A and B, respectively, at time t.

Answers

Answer:

[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]

[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]

x(0)=20,y(0)=5

Step-by-step explanation:

We are given that

Tank A contains water=80 gallons

x(0)=20,y(0)=5

Tank B contains water=30 gallons

Rate=4 gallon/min

Concentration of salt  is pumped into tank=0.5 pound /gallon of water

Solution pumped from tank A to tank B at the rate=6 gallons/min

Solution pumped from tank B to tank A at the rate=2gallon/min

Solution from tank B is pumped out of the system at the rate=4 gallon/min

We have to find the DE at time t

For x

Rate in=[tex]0.5\times 4+y(t)/30\times 2[/tex]

Rate in=[tex]2+y/15[/tex]

Rate out=[tex]x/80\times 6[/tex]

Rate out=3x/40[/tex]

[tex]\frac{dx}{dt}=[/tex]Rate in-Rate out

[tex]\frac{dx}{dt}=2+y/15-3x/40[/tex]

[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]

For y

Rate in=[tex]x/80\times 6[/tex]

Rate in=3/40x

Rate out=[tex]y/30\times (4+2)[/tex]

Rate out=y/5

[tex]\frac{dy}{dt}=[/tex]Rate in-Rate out

[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]

Given the sequence \\(\\frac{1}{4},\\frac{1}{8},\\frac{1}{16}\\)\nthen r is _____​

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

For geometric sequences, we find r by dividing one of the terms by the last. So we could do [tex]\frac{1}{\frac{16}{\frac{1}{8}}}[/tex]or [tex]\frac{1}{\frac{8}{\frac{1}{4}}}[/tex] and it'll give us the same result (1/2)

Write the ordered pair for each given point:
9) J ___
10) E ___
11) X ___
12) Z ___
13) B ___
14) D ___
15) R ___
16) W ___

I WILL PUT BRAINLIEST!!

Answers

j:-5,9
e:-2,1
x:1,2
z:-8,-3
b:-4,-6
d:-5,1
r:-3,-8
w:0,9
j(-5,9)
e(-2,1)
x(1,2)
z(-8,-3)
b(-4,-6)
d(-5,1)
r(-3,-8)
w(0,9)

What ratio is bigger 6:12 or 1:2

Answers

Answer:

they are both the same amount

Step-by-step explanation:

Answer:

Step-by-step explanation:

They are both the same 6:12  can be reduced to 1:2 by dividing 6 and 12 by 6.

r(x)=2square root of x S(x)= square root of x (rs)(4)=

Answers

Answer:

[tex](rs)(4) = 8[/tex]

Step-by-step explanation:

Given

[tex]r(x) = 2\sqrt{x[/tex]

[tex]s(x) = \sqrt x[/tex]

Required

Determine [tex](rs)(4)[/tex]

In functions:

[tex](fg)(x) = f(x) * g(x)[/tex]

This implies that:

[tex](rs)(x) = r(x) * s(x)[/tex]

Substitute values for r(x) and s(x)

[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]

[tex](rs)(x) = 2(\sqrt{x})^2[/tex]

[tex](rs)(x) = 2x[/tex]

Substitute 4 for x

[tex](rs)(4) = 2 * 4[/tex]

[tex](rs)(4) = 8[/tex]


Find the slope of the line through the points (4,2) and (6,2).

Answers

Answer:

The slope is m=0

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).

Bradley owe's his parents $275. Every week, Bradley pays his parents back $55. Which function represents the
amount of money Bradley still owes his parents?

Answers

Answer:

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Step-by-step explanation:

Given that:

Amount Bradley owes = $275

Amount Bradley pays each week = $55

Let,

x be the number of weeks.

We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;

f(x) = 275 - 55x

Hence,

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Add the two expressions
-4.2x+3 and 2.5x-6


please help me with this

Answers

-1.7×-6 is the answer. Hope this helps.

Answer:

-1.7x + -3

Step-by-step explanation:

−4.2x+3 +2.5x−6

−4.2x+3

2.5x−6

Hope This Helped  <3

Select the correct answer.
Which expression means five times the sum of band two?
OA. 5(6+2)
O B. 56+2
Oc. (6+2)
5
D
(5+2)
OD.

HELP PLEASE!! ill give brainlist

Answers

A is the answer to that question!

Answer:

Hi... Your answer is A...

What is the answer to this Question?


8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22

Answers

Answer:

Here

Step-by-step explanation:

Let's solve your equation step-by-step.

8−6(x−4)=2x−2(4x−5)+22

Step 1: Simplify both sides of the equation.

8−6(x−4)=2x−2(4x−5)+22

8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)

8+−6x+24=2x+−8x+10+22

(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)

−6x+32=−6x+32

−6x+32=−6x+32

Step 2: Add 6x to both sides.

−6x+32+6x=−6x+32+6x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

Look at the table of values.
x
у
-6
11
- 2
7
0
5
4
1
8
-3
Which equation represents the relationship between x and y?
A. y = x-1
B. y = x - 4
C. y = 5 - x
D. y = 2x + 3

Answers

C. The equation applies for each group.
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