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

The table shows the temperature (y) at different altitudes (x), This is a linear relation ship. Use the equation y= -0.004x+69 to determine the temperature at an altitude of 5,000 feet.

Answers

Answer:

49

Step-by-step explanation:

i just did it

i need help with finding area whats the area of a 11ft an 6ft rectangle​

Answers

Hello!

[tex]\large\boxed{A = 66ft^{2}}[/tex]

Formula for the area of a rectangle:

A = b × h where:

b = base

h = height

We are given the base and height as 11 ft and 6 ft, so use the equation above to solve for the area:

A = 11ft × 6ft

A = 66ft²

What's 10.08 rounded to the nearest one?

Answers

Answer:

10

Step-by-step explanation:

Help who ever. actually helps me gets brainliest.​

Answers

Answer:

A, C

Step-by-step explanation:

6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2

dividing 6 by 1/2 is the same as multiplying 6 by 2


Are these triangles similar?

Answers

pretty sure its no, the number on the outside arent the same meaning both areas wont add up.

Pls help extra points and mark brainlist easy reading

Answers

Answer:

prove to be right should be the correct answer?

Step-by-step explanation:

In cases like that, switch the word out for it's definitions and choose the one that fits best too, like "He was not sure how he would prove his actions to be right to his family"

Amy rides her bicycle for 3 hours at a speed of 40 miles per hour. What distance does she travel? Immersive Reader (1 Point) 13.3 miles 0.075 miles 120 miles 43 miles

Answers

Answer:

120

Step-by-step explanation:

3 * 40 = 120

hi can you help me answer this?​

Answers

Answer:

C.112

Step-by-step explanation:

i can confirm that the answer for this is indeed C

please answer asap!!!!

Answers

Answer:  VX = 37

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

Explanation:

VX is a midsegment and it is half as long compared to the parallel side UY. This means UY is twice as long compared to VX

UY = 2*(VX)

s = 2*(s-37)

s = 2s - 74

s-2s = -74

-s = -74

s = 74

This makes UY be 74 units long

So VX = (1/2)*UY = 0.5*74 = 37

Answer:

37

Step-by-step explanation:

The midsegment theorem states that a midsegment is half the measure of the line it is parallel to (the base).  So VX is 1/2 of UY. So:

2(s-37)=s

2s-74=s

s=74

VX= 37

Television screens are usually described by the length of their diagonal measure. What would the diagonal measure be for a television whose dimensions are 54 inches by 28 inches?
A) 61 inches
B) 71 inches
C) 81 inches
D) Unable to determine with given data.

Answers

Answer:

A

Step-by-step explanation:

61 inches

Step-by-step explanation:

61inches is answer.. .. ..

Solve for x.
3(3x+3)-5x-4= 25

Answers

3(3x + 3)-5x - 4 = 25
9x + 9 - 5x - 4 = 25
4x + 5 = 25
4x + 5 - 5 = 25 - 5
4x = 20
4x/4 = 20/4
X = 5

Answer:

3(3x + 3) - 5x - 4 = 25

9x + 9 - 5x - 4 = 25

9x - 5x - 4 = 16

4x - 4 = 16

4x = 20

x = 5

my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)​

Answers

The answer is your teacher different

Please help! I’ll venmo/ cash app $3 if you help or get right

Answers

X = 105

The circle is 360, so add the two numbers that are already present there together,. The rest two side are the same, so use 2x, x for one side, so two for two side.

85 + 65 + 2x = 360
150 + 2x = 360
2x = 210
x = 105
Hhtghiuufdssssssssdddrtyuiool

Trignometery: Sin Cos and Tan

Answers

Answer:

766m (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

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:

Write an equation for each line?

Answers

I will need a pic or something to answer ur questions dear :)
picture please so i can see

Please find x....................

Answers

Answer:

x = 14.1

Step-by-step explanation:

Reference angle = 62°

Side opposite to reference angle = x

Hypotenuse = 16

Applying trigonometric ratio, thus:

Sin 62 = x/16

Multiply both sides by 16

16*sin 62 = x

14.1271615 = x

x = 14.1 (nearest tenth)

Evaluate -2 - 6y when x=5 and y =-3

Answers

Answer:

-10-6.(-3)

-10+18

=8

Step-by-step explanation:

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

ST = 8 m

Step-by-step explanation:

Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.

PQ corresponds to ST.

Therefore, PQ is congruent to corresponding side ST, which is 8 m

ST = 8 m

Solve the following equation.
7(x - 2) = 3(x + 4)
X = ?

Answers

Answer:

x=6.5

Step-by-step explanation:

Don't worry I just know

Answer:

X = 13/2

Step-by-step explanation:

7(x-2)=3(x+4)

Distribute

7x - 14 = 3x + 12

-3x from both sides

4x -14 = 12

Add 14

4x = 26

Dive by 4

X = 13/2

If u simplify 26/4

use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5​

Answers

Hey there!

• A.

–5 + 7 – 2 = ?

–5 + 7 = 2

2 – 2 = 0

Answer: 0 ☑️

• B.

–4 * 3 = ?

“Guide”

• Negative & Negative = Positive

• Positive & Positive = Positive

• Negative & Positive = Negative

• Positive & Negative = Negative

• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!

–4 * 3 = –12

Answer: –12 ☑️

• C.

3.5 + 4.5 = ?

5 + 5 = 10

• CARRY your 1

3 + 4 + 1 = ?

3 + 4 = 7

7 + 1 = ?

Answer: 8 ☑️

You basically had to do ORDER OF OPERATIONS / PEMDAS

(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Replace the values of A, b, x, and y to write an exponential equation that represents the number of cells present at h hours.

Answers

Answer:

100(2)^h =6,400

Step-by-step explanation:

For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .

Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.

The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.

Lynnetta gets paid weekly for completing household chores. The amount of money she earns for doing dishes, D, is
approximately Normally distributed with a mean of $53 and a standard deviation of $3.60. The amount of money she
earns for doing laundry, L, is approximately Normally distributed with a mean of $47 and a standard deviation of
$4.10. Assume that D and L are independent random variables.
What is the probability that Lynnetta will earn more than $110 in a randomly selected week?
0.034
0.097
0.249
0.966

Answers

Answer:

its a

Step-by-step explanation:

i guessed on edge lol

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

Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.



plz help

Answers

Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.

32) Write a compound inequality that represents the given graph:



A. 6≤x 10
D. 6

Answers

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10

PLS HELP ASAP
WILL MARK BRAINLIEST

Answers

Answer:

first blank is x, then -7, then 11, then -11.

Step-by-step explanation:

Hope it helps!

Find the cost of Each Treat:
Total:
$25.71
$24.414
O
$25.71
Total:
$25.71
$23.21
$26.94
Help please rly fast.
I’ll rate you very good and do whatever. Thanks

Answers

Answer:

Ice cream is 8.98

Step-by-step explanation:

What type of polynomial is this and what is its degree?
5b3 - 3 + 6b

Answers

Answer:

3rd degree trinomial

Step-by-step explanation:

the highest power is 3 and there are 3 terms so its a 3rd degree trinomial

If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
pt = 2500(1.022t)
Find the current price of the item and the price 10 years from today.

Answers

Answer:

The answer is "3107.75".

Step-by-step explanation:

[tex]\text{Rate of inflation} = \frac{3.4 \%}{year}[/tex]

[tex]\to p(t)= 2500 (1.022)^t[/tex]

when t= 0  

[tex]\to p(0) = 2500(1.022)^0[/tex]

           [tex]= 2500 \times 1\\\\= \$ 2500[/tex]

When t=10

[tex]\to p(10)=2500(1.022)^{10}[/tex]

             [tex]= 2500 \times 1.2431\\\\= 3107.75[/tex]

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