What is the slope of the line that passes through
the points (-1,3) and (5, 7)?

What Is The Slope Of The Line That Passes Throughthe Points (-1,3) And (5, 7)?

Answers

Answer 1

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

For this situation we will use this equation:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

This lets us find the slope from a set of points (m being the slope of course), with each one representing a coordinate from our set. (e.g. 7 could be [tex]y_{2}[/tex])

First let's define which coordinates will represent each:

(-1,3): [tex]x_{1} ,y_{1}[/tex]

(5,7): [tex]x_{2} ,y_{2}[/tex]

Now that we have this, we can fill in our coordinates: [tex]m = \frac{7-3}{5-(-1)}[/tex]

Next we simplify: [tex]m = \frac{4}{5+1}[/tex] (double negative = positive)

And simplify some more: [tex]m = \frac{4}{6}[/tex]

Finally, we find the GCF (greatest common factor) of 4 and 6, which is 2, and divide by that to further simplify the fraction: [tex]m = \frac{2}{3}[/tex]

Therefore, the slope of the line that passes through the points (-1,3) and (5,7) is [tex]\frac{2}{3}[/tex].


Related Questions

Find the slope of the line that passes through (1,7) and (10, 9).

Answers

Answer: 2/9

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

y2 - y1 over x2 - x1

Then subtract and get 2/9

Hope this helped and have a great day!

(Please brainliest)

Which whole number property is represented?
10+ 0 = 10

Answers

Answer:

10

Step-by-step explanation:

The simpledt form of the decimal is 0.84 as a fraction is?

Answers

21/25 is equivalent to .84

(7 x 1) + (4 x 1/10) + (6 x 1/1,000) in standard form

Answers

Answer:

1.1161×10¹

Step-by-step explanation:

Mark wants to fence 4 rectangular gardens, each with a length of feet and a width of feet. What is the total length of fencing Mark needs to surround all 4 gardens?

Answers

Answer:i need more explaining

Step-by-step explanation:

Can someone help me

Answers

m < 1 = 130°

m < 1 = 130°m < 2 = 50°

We know this is a linear pair, therefore the two angles must add up to 180°

[tex](m < 1 )+ (m < 2 )= 180[/tex]

[tex]5x + x + 24 = 180[/tex]

Combine like terms

[tex]6x + 24 = 180[/tex]

Isolate the variable

[tex]6x = 156[/tex]

[tex]x = 26[/tex]

Plug in 26 for x in both of the individual angle equations.

[tex]m < 1 = 5x[/tex]

[tex] = 5(26)[/tex]

[tex] = 130[/tex]

[tex]m < 2 = x - 24[/tex]

[tex] = (26) + 24[/tex]

[tex] = 50[/tex]

A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.

I hope this helped. Let me know if you have any questions!

Foster is centering a photo that is 1 1/2 inches wide on a scrapbook page that is 16 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number.

Answers

1 1/2:16 and solve {pic provided)

Write the equation of a line that is perpendicular to y = 7/5x + 6 and that passes through the point (2,-6).

Answers

Answer:

y = -5/7x - 32/7

Step-by-step explanation:

Perpendicular slopes are "opposite reciprocals."

7/5 goes to 5/7, then -5/7 (if you don't get it you can comment)

So the perpendicular equation line: y = -5/7x + b (you don't know the y-intercept yet)

Substitute (2, -6) because that perpendicular line is going through it.

-6 = -5/7(2) + b

-6 = -10/7 + b

-42/7 = -10/7 + b

-32/7 = b

Perpendicular line equation: -5/7x -32/7

can someone help me to solve this question? ​

Answers

Answer:

The values of x and y are x = 95 and y = 25

Step-by-step explanation:

If a quadrilateral is inscribed in a circle which means all its vertices lie on the circumference of the circle, then it is called a cyclic quadrilateral.

The properties of the cyclic quadrilateral

Every two opposite angles are supplementary (the sum of their measures is 180°)The measure of an exterior angle at one vertex equals the measure of the interior opposite angle to this vertex

In the given figure

∵ The four vertices of the quadrilateral QRTU lie on the circle

QRTU is a cyclic quadrilateral

∵ ∠ PQU is an exterior angle of quadrilateral QRTU at Q

∵ ∠RTU is the opposite interior angle to it

→ By using the 2nd property above

m∠PQU = m∠RTU

∵ m∠PQU = 95°

∵ m∠RTU = x°

x = 95

∵ ∠QRT and ∠QUT are opposite angles in the cyclic quadrilateral

→ By using the 1st property above

m∠QRT + m∠QUT = 180° ⇒ supplementary angles

∵ m∠QRT = 110°

∴ 110 + m∠QUT = 180°

→ Subtract 110 from both sides

m∠QUT = 70°

In ΔSQU

∵ ∠ PQU is an exterior angle to the Δ T vertex Q

→ That means its measure equal the sum of the measures of the

   two opposite interior angles QSU and QUS

m∠PQU = m∠QSU + m∠QUS

∵ m∠PQU = 95°

∵ m∠QSU = y°

∵ m∠QUS = 70°

∴ 95 = y + 70

→ Subtract 70 from both sides

∴ 25 = y

y = 25

simplify 3/6 over 4 pleaseeeeeeee

Answers

Answer:

Answer:

Use Mixed Numbers 3/6 ÷ 4

This is the same as division with fractions.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1

-

8

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.

Answers

Answer:

9.72 seconds

Step-by-step explanation:

9.72 seconds ( approx )

Step-by-step explanation:

Since, the equation that shows the height of the rocket from the ground,

Where,

x = time after launch, in seconds,

When the rocket hits the ground,

y = 0,

i.e.

By the quadratic formula,

∵ Time can not be negative,

So, the time taken to hit the ground = 9.716 seconds ≈ 9.72 seconds.

The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given height of tower y in terms of time is seconds x

y = -16x² + 240x + 115

The height of the tower when the rocket hit the ground will be zero.

Thus, y = 0

0 = -16x² + 240x + 115

16x² - 240x - 115=0

By quadratic equation formula,

x = [-(-240) ± √((-240)²+4×16×(-115))]/ 2×16

x = [240 ± 254.8725]/32

x = 15.46 and x = -0.46 since time can be never negative thus 15.46 seconds will be correct.

15.46 to the nearest hundred is 15.

Hence "The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds".

For more about the quadratic equation,

https://brainly.com/question/17177510

#SPJ5

what is the vertical shrink by a factor or 1/6

Answers

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. • if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

900.06=_____ sig fig
Help?

Answers

Answer:

Lets in say 900.06 ____ the blank is represented as x:

x =  50

x = 45003

x = 900.060

Hope this helps! Please mark Brainliest!

MULTIPLE CHOICE
Souvenir hats, t-shirts, and jackets are sold at a rock concert. Three hats, two t-shirts, and one jacket cost $140. Two hats, two
t-shirts, and two jackets cost $170. One hat, three t-shirts, and two jackets cost $180. Find the prices of the induvial items.

Answers

Answer:

Hats cost $15, T-Shirts cost $25, Jackets cost $45

If this was helpful please mark brainliest, have a great day!

Which is an equivalent form of the following equation?
2x – 3y = 3

Answers

You didn’t give a picture but I solved it in slope intercept form. The answer for that is y=2/3x-1
If you need it in another form let me know

Answer:

y=2/3x - 1

Step-by-step explanation:

2x-3y=3

-2x      -2x

-3y= -2x + 3

÷-3     ÷-3   ÷-3

y= -2/3 x  - 1

What is the equation of the line that passes through the point (8,-8 and has a slope of -1/4

Answers

Answer:

The answer is

[tex] \huge y = - \frac{1}{4} x - 6[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is ( 8 , - 8) and slope -1/4

We have

[tex]y + 8 = - \frac{1}{4} (x - 8) \\ y + 8 = - \frac{1}{4} x + 2 \\ y = - \frac{1}{4} x + 2 - 8[/tex]

We have the final answer as

[tex]y = - \frac{1}{4} x - 6 \\ [/tex]

Hope this helps you

if any of you know how to do this pls help :)))

Answers

Answer:

y=3/5,6

Step-by-step explanation:

Split the second term in 5{y}^{2}-33y+185y2−33y+18 into two terms.

5{y}^{2}-3y-30y+18=05y2−3y−30y+18=0

2

 

Factor out common terms in the first two terms, then in the last two terms.

y(5y-3)-6(5y-3)=0y(5y−3)−6(5y−3)=0

3

 

Factor out the common term 5y-35y−3.

(5y-3)(y-6)=0(5y−3)(y−6)=0

4

 

Solve for yy.

y=\frac{3}{5},6y=53,6

Answer:

y=3/5,6

Step-by-step explanation:

(5y-3)(y-6)=0

5y-3=0 y-6=0

y=3/5 y=6

Find all the values that make it true

Hope this helps! :)

the point (x,y) lies on the line y=x+2. the distance from p(1,0) to (x,y) is represented by d. write d as an expression in terms of x.​

Answers

Answer:

Step-by-step explanation:

girl im confused too:/

How is 700,000,000 expressed in standard scientific notation?

Answers

Answer:

7 x 108

Step-by-step explanation:

8 a little sing on top of 0.

can I have brainliest

it was from Google

Use the figure to find measures of the numbered angles.

Answers

Answer:

1 = 137

2 = 43

3 = 43

4 = 137

Step-by-step explanation:

for the first line, do (180-137 = 43)

then, 43 would be corresponding angle to 2 - making them equal

2 would be vertically opposite to 3, making them equal

137 and 1 are corresponding- making them equal

4 is vertically opposite to 1 - making them equal

Angle 1 = 137 degrees
Angle 2 = 43 degrees
Angle 3 = 43 degrees
Angle 4 = 137 degrees

How to build up am international business empire by yourself?

Answers

Answer:

Honestly first get rid of all the negative people around you there will always be that person or persons who don't belive in you. But trust me if you belive in yourself give it your 100% and don't stop grinding. ask people for promotions and don't br afraid to experiment try not to stay on the same idea try, trying something new.

hey yall uh please help me i need this done asap! i'll give the brainliest thingamabob to whoever answers me :))
A salesman's salary is $9 per hour plus $250 in sales commission. His total weekly pay this week was $565. How many hours did the salesman work this week? Write an equation to model and solve the problem. Explain the answer in terms of the problem. Show all work.
muah

Answers

Answer:

565+9x=250.......

Step-by-step explanation:

um i think this might be it

Answer:

he worked 35 hours

equation: p= $9x + 250

p is pay

x is hours worked

Step-by-step explanation:

we know that the pay was 565 so plug that into p: 565= 9x + 250

subtract 250 from both side to isolate the variable: 315= 9x

divide both sides by 9: x= 35

Which of these measures could not be the lengths of the sides of a right
triangle?
A. 4, 10,16
B. 5, 12, 13
C. 7, 24, 25
D. 8, 15, 17

Answers

Answer:

A

Step-by-step explanation:

(5y^4 + 2y^5)(-3y^6 + 7y^8)

Answers

Answer:

14[tex]y^2+35y^12-6y^11-15y^10[/tex]

Step-by-step explanation:

Simply by distributing 5y^4 to the first two terms and then distribute 2y^5 to the same two terms and then add the like terms.

Evaluate each function.
P(t) = 3t + 5; Find p(-9)​

Answers

Answer:

P(-9) = -22 hope this helps! i may be wrong tho, cuz i haven't done this in a while

Step-by-step explanation:

P(-9) = 3(-9) +5

P(-9) = -27+5

P(-9) = -22

Draw the image of triangle △ABC under a dilation whose center is P and scale factor is 1/3.

Answers

Answer:

Here you gooooo

Step-by-step explanation:

Answer:

khan

Step-by-step explanation:

write a quadratic formula or expression for this:

The product of a certain whole number and four more than that number is 140, write a quadratic expression / formula and find the number. ​

Answers

Answer:

number is 10

Step-by-step explanation:

let n be the number, then 4 more than the number is n + 4, thus

n(n + 4) = 140 , that is

n² + 4n = 140 ( subtract 140 from both sides )

n² + 4n - 140 = 0

Consider the factors of the constant term (- 140) which sum to give the coefficient of the n- term (+ 4)

The factors are + 14 and - 10 , since

14 × - 10 = - 140 and 14 - 10 = + 4 , thus

(n + 14)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 14 = 0 ⇒ n = - 14

n - 10 = 0 ⇒ n = 10

Since n is a whole number the the required number is 10

share 50 marbles in the ratio 2:3 between Alex and joshua.How many marbles does each boy receive?​

Answers

I think Alex has 20 , Joshua has 30. But I could be wrong.

pllllsss answer for 30points and brainliest!!!!


(b) About how many times larger was the population of the United States than the population of Columbus, Ohio?

Answers

Answer:

387.6. So, the closest whole number would be 388 times larger

Step-by-step explanation:

I divided the U.S. pop by the Columbus pop and got the answer: 387.6. So, the closest whole number would be 388 times larger

Answer:

The population of the United States is 387.87 times larger than the population of Columbus, Ohio.

Step-by-step explanation:

8.25 times 100000 = 825,000

3.2 times 100000000 = 320,000,000

320,000,000 divided by 825,000 = 387.87

Can someone help me please

Answers

Answer:

c

Step-by-step explanation:

well you can see its not negative since your subtractiing negtivees witch is just adding a possivite and 64 is unreasonable

Answer:

A

Step-by-step explanation:

Bruh

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