Find the slope of the line that passes through the following sets of points. Write your answer in simplest form.

(0, 5) and (8, 2)

(2, -1) and (6, 1)

(-3, -2) and (-1, -5)

Answers

Answer 1

Answer:

            [tex]\bold{m_1=-\dfrac38}[/tex]

            [tex]\bold{m_2=\dfrac12}[/tex]

            [tex]\bold{m_3=-1\dfrac12}[/tex]

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(0, 5)   ⇒   x₁ = 0,  y₁ = 5

(8, 2)   ⇒     x₂ = 8,  y₂ = 2

So, the slope:

                     [tex]m_1=\dfrac{2-5}{8-0}=\dfrac{-3}{8}=-\dfrac38[/tex]

(2, -1)   ⇒   x₁ = 2,  y₁ = -1

(6, 1)   ⇒     x₂ = 6,  y₂ = 1

The slope:

                     [tex]m_2=\dfrac{1-(-1)}{6-2}=\dfrac{2}{4}=\dfrac12[/tex]

(-3, -2)   ⇒   x₁ = -3,  y₁ = -2

(-1, -5)   ⇒     x₂ = -1,  y₂ = -5

The slope:

                     [tex]m_3=\dfrac{-5-(-2)}{-1-(-3)}=\dfrac{-3}{2}=-\dfrac32=-1\frac12[/tex]


Related Questions

12,434.4 round nearest whole number

Answers

Answer:

12,434

Step-by-step explanation:

since after the decimal point the number ranges 0-4 it will nullify but if 5-9 it will add 1 to the number before the point


A washing machine can hold kg of laundry in each load. If Randy has
6 kilograms of laundry, how many loads does he need to do?

Answers

Answer:

6 loads

Step-by-step explanation:

Answer:

she will need to do 6 loads

Which angle type is NOT shown in the diagram?

A) acute
B) obtuse
C) right
D) straight

Answers

Need to see the diagram to find the answer

Help me with Math
( graphs )
PLEASEEE​

Answers

Ok try to look on you tube it can help a lot in this

A gym owner has some yellow weights and some red weights. The yellow weights are 6 kilograms each, and the red weights are 8 kilograms each. The owner has 4 weights, and they weigh 28 kilograms in all. How many of each color weight does he have?

Answers

Answer:

The store owner has two of each color weights

Step-by-step explanation:

How do I find the answer

Answers

Answer:

19-13=6+1=7-14=-7+4=-3

Step-by-step explanation:

On Tuesday, Lisa spent $35.78 at the
grocery store. Later in the week, she
returned. At the end of the week, she
had spent $96.52 at the grocery
store. How much did Lisa spend on
her second trip?

Answers

Answer:

$60.74 on the second trip.

Step-by-step explanation:

Well we know that she spent $35.78 on the first trip.

We DON’T know how much she spent for the second trip so lets put it as “x” for unknown.

We know she spent a TOTAL of $96.52 for those two trips combined.

So we can make a simple equation

35.78+x=96.52

Now solve the equation.

Subtract 35.78 on both sides to isolate the X

35.78-35.78=0

96.52-35.78= 60.74

So if you plug everything in

0+x=60.74

0 is nothing so we can get rid of that

x=60.74

joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP

Answers

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

The systems in the previous two interactions are the same. Describe the relationship between the solution in the first interaction and the coordinates of the intersection of the lines in the second interaction.

Answers

Answer:

The solution to the system of equations is the same as the intersection coordinates of the two lines representing the equations in the system.

Step-by-step explanation:

PLATO

Answer:  The solution to the system of equations is the same as the intersection coordinates of the two lines representing the equations in the system.

For your second question

1. There  ARE TWO POINTS where the line for the equation y=2x+2 intersects the parabola.

2. There  IS ONE POINT where the line for the equation y=1 intersects the parabola.

3. There  IS NO POINT where the line for the equation y=2x-4 intersects the parabola.

Does anyone know how to do 3 & 4

Answers

Answer:

3. HGK

4. k=17

Step-by-step explanation:

Please help me with these two questions I am having trouble

Answers

Answer:

1. 8820.26 yds^2

2. 101.265 m^2

Step-by-step explanation:

For both problems you need to use the equation π*r^2 which is the area of a circle and where r is the radius of the circle. The radius is also equal to 1/2 the diameter so using this we can figure out the are of the first circle

For the second problem we have to find the area of the circle with and without the sidewalk around it and subtract them from each other

Select the correct answer. When two parallel lines are cut by a transversal, angles A and B are alternate interior angles that each measure 105°. What is the measure of each of the other alternate interior angles?

Answers

Answer:

105°

Step-by-step explanation:

For two parallel lines cut by a transversal, the alternate interior angles of such line geometry will be equal. Since m<A and m<A are alternate interior angles, hence m<A = m<B

Since one of the angle measures 105degrees, the other angle will also measure 105 degrees, This shows that;

m<A = m<B = 105°

HELPPPPP The graph (shown in red) below shows the solution set of which inequality?HELPPP ME PLSSS ASAPP

Answers

hey yall. im going to say its A.
my reasoning is the chart has a closed circle and the only answer that has a sign that matches it is A because all the other ones are not equal to!!!!

Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teach me it because i need to show my work, thank you

Answers

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

For example, for one year:

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

#9 Please help me with this question

Answers

Answer:

Now I might be wrong but I think it is A

Step-by-step explanation:

Help.Right answer gets brainliest.

Answers

Answer:

D it should be D i had a similar question

It is absolutely D honey

I NEED HELP!!
I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out

Answers

Answer:

okay, but what is the equation?

Answer:

Alright Ima need the question

Step-by-step explanation:

3. Janice raked leaves for 4 hours and
earned $30. What is Janice's pay rate
for raking leaves?
A $6.75 per hour
B $7.25 per hour
c $7.50 per hour
D $7.75 per hour
Answer quick plzzz

Answers

answer is c 7.50 per hour

Answer:

£7.50 per hour

answer: c

Step-by-step explanation:

hope this helps!

have a good day :)

If x=6 and y=−2, evaluate the following expression:3x+4y​

Answers

7

Step-by-step explanation:

3(5)+4(-2)

15 +-8

=7

hope this helped

Answer:

10

How did i get the answer?

3x +4y

3(6) + 4 (-2)

18 + (-8)

10

Thannnnkkk youuuuuuuuu of youuuu helpp

Answers

The answer to this problem is D. Hope that helps.

What is the Area of the Trapezoid GHIK?

Answers

Answer:

The area of the trapezoid is 56 sq ft

Each wooden letter block is sold according to size. What is the volume of the letter shown?
O A. 48,000 mm
o
B. 16,000 mm
C. 24,000 mm
O
D. 28,000 mm

Answers

Answer:

24000

Step by step

20×10×80 = 16000+ 40×10×20=8000 = 24000

PLEASE HELP ME WITH PROOFS . DONT ANSWER IF YOU DONT KNOW. BRAINLY FOR CORRECT ANSWER

Answers

Step-by-step explanation:

Does this help?

I really need a tutor, but I don’t have the option, help:(

Answers

Answer:

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Step by Step Explanation:

EeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEe

Which of the following statements would be supported by both a communist and a utopian socialist?
A. A classless society can be brought about in Europe without a violent revolution.
B. The gains of the industrial revolution should be shared by all members of society. C. Governments have no right to restrict the actions of businesses or customers.
D. A government should restrict the number of imports and exports to protect its gold reserves.

Answers

Answer:

A

Step-by-step explanation:

:)

Answer:

B. The gains of the industrial revolution should be shared by all members of society.

Step-by-step explanation:

Communists were opposed to the power that the wealthy bourgeoisie had, who controlled the means of production.

Instead, Communists wanted the proletariat (working class) to control the means of production, in order to create a more even distribution of wealth and power in society.

So, they supported making the Industrial Revolution's benefits shared by society.

Utopian socialists also would support this, as they also supported public ownership of the means of production.

The correct answer is B.

Which of the following is a true statement about the angles in the figure below?

Answers

Answer:

The statement which is true about the angles in the figure is;

The measure of Angle 4 is 137 degrees

Step-by-step explanation:

From the question diagram, we have;

The interior angles of the triangle are;

43°, 56°, and ∠1

Therefore, by the angle sum theorem, we have;

∠1 = 180° - 43° - 56° = 81°

∠1 = 81°

The measure of ∠1 is 81°

By the sum of angles on a straight line, we have;

∠1 + ∠2 = 180°

∴ 81° + ∠2 = 180°

∠2 = 180° - 81° = 99°

The measure of ∠2 is 99°

Similarly, for the angles 56° and ∠3 which are on a straight line, we have;

56° + ∠3 = 180°

∠3 = 180° - 56° = 124°

The measure of ∠3 is 124°

For the angles 43° and ∠4 which are on a straight line, we have;

43° + ∠4 = 180°

∠4 = 180° - 43° = 137°

The measure of ∠4 is 137°

Therefore the true statement is the measure of angle 4 is 137 degrees.

Hey can you help me fast!!

Answers

The answer is -6/7 after working it out.

Find the volume of the solid shown in the figure

Answers

Answer:

The answer to the question is 603.186

NEED HELP i dont know how to do this and i need to turn in soon

Answers

Answer:

f(-1) = 0 and f(4) = 0

Step-by-step explanation:

look at graph to see what point(s) is/are intersecting the y-axis, then use the y-value of the ordered pair

Heya!
[tex] \underline{ \underline{ \text{QUESTION : }}}[/tex] In the given quadrilateral PQRS, the mid-points of the sides PQ , QR , RS and SP are A , B , C and D respectively. Prove that ABCD is a parallelogram.

Answers

Answer:

See Below.

Step-by-step explanation:

We are given that A, B, C, and D are the midpoints of sides PQ, QR, RS, and SP, respectively.

And we want to prove that ABCD is a parallelogram.

By the definition of midpoint, this means that:

[tex]SD\cong DP, \, PA\cong AQ, \, QB\congBR, \, \text{ and } RC\cong CS[/tex]

To prove, we can construct a segment from S to Q to form SQ. This is shown in the first diagram.

By the Midpoint Theorem:

[tex]DA\parallel SQ[/tex]

Similarly:

[tex]CB\parallel SQ[/tex]

By the transitive property for parallel lines:

[tex]DA\parallel CB[/tex]

Likewise, we can do the same for the other pair of sides. We will construct a segment from P to R to form PR. This is shown in the second diagram.

By the Midpoint Theorem:

[tex]AB\parallel PR[/tex]

Similarly:

[tex]DC\parallel PR[/tex]

So:

[tex]AB\parallel DC[/tex]

This yields:

[tex]DA\parallel CB\text{ and } DC\parallel AB[/tex]

By the definition of a parallelogram, it follows that:

[tex]ABCD\text{ is a parallelogram.}[/tex]

Answer:

this is your answer look it once

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