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

A) 1/2
B) -1/2
C) -3/2

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]

Step-by-step explanation:

We are asked to find the slope of the line.

Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.

We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:

x₁ = -3 y₁ = 1x₂ = 1 y₂ = -5

Substitute the values into the formula.

[tex]m= \frac{-5 -1}{1 - -3}[/tex]

Solve the numerator.

-5-1= -6

[tex]m= \frac{ -6}{1--3}[/tex]

Solve the denominator. Two back-to-back negative signs become a positive sign.

1 - -3 = 1+3 =4

[tex]m=\frac{-6}{4}[/tex]

Simplify the fraction. Both the numerator and denominator can be divided by 2.

[tex]m= \frac{-6/2}{4/2}[/tex]

[tex]m= -\frac{3}{2}[/tex]

The slope of the line is -3/2, so the correct choice is C.


Related Questions

Gina Wilson all things algebra unit 4 homework 3 questions 12-15

Answers

Step-by-step explanation:

the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.

therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.

from there we get really all 4 answers.

the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.

12.

3x + 18 + 7x - 58 + 2x - 8 = 180

12x - 48 = 180

12x = 228

x = 19

angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees

angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees

angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees

13.

8x - 17 + 19x + 4 + 5x + 1 = 180

32x - 12 = 180

32x = 192

x = 6

angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees

angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees

angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees

14.

KL = 9x - 14

LM = 7x - 37

KM = 3x + 23

angle K = angle L

so, the sides LM and KM must be equally long. that gives us

7x - 37 = 3x + 23

4x = 60

x = 15

KL = 9x-14 = 9×15 - 14 = 135-14 = 121

LM = 7x-37 = 7×15 - 37 = 105-37 = 68

KM = 3x+23 = 3×15 + 23 = 45+23 = 68

15.

XY = 13x - 21

YZ = 8x - 6

XZ = x + 4

angle X = angle Z

so, the sides XY and ZY (or YZ) must be equally long. that gives us

13x - 21 = 8x - 6

5x = 15

x = 3

XY = 13x-21 = 13×3 - 21 = 39-21 = 18

YZ = 8x-6 = 8×3 - 6 = 24-6 = 18

XZ = x + 4 = 3+4 = 7

Identify all the word phrases that can be represented using the expression 3t – 5.

(Choose 2)

Answers

Answer:

B

Step-by-step explanation:

3t is also represented as 3(t)

which is multyplication

theirfor the product

Answer:

Step-by-step explanation:

3t - 5

can you keep the options?

my answers would be

5 less than product of 3 and a number

helppppp plzzzz is fue today​

Answers

Zero since the line does not go up or down in x and y

Answer:

0

Step-by-step explanation:

There is no gradient there.


b) Given that tan e = 3/4, calculate
i) the length of QR
ii) the value of cos 0
6cm
P
Q
R

Answers

Answer:

0+_+0

Step-by-step explanation:

Hello! Please answer this ASAP. Thanks!

Answers

Answer:

x=3

Step-by-step explanation:

Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.

How much is 25% of a 4 gallon jug of milk?

Answers

the answer is 1 because .25x4=1

Answer:

1 gallon

Step-by-step explanation:

4 / 4 = 1

(because 25% is 1/4 of 100%)

:)

What is
-3/10 + 3/10 =

Answers

Answer:

-3/10+ 3/10

lcm=10

-3+3

______

10

=0/10 = 0

Answer:

-6/10

Step-by-step explanation:

hope it helps

A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?

Answers

well im guessing it the average highway speed 60 mph so it is $7

A nurse spent 83% of a 12-h shirt caring for patients. How many hours were devoted to patient care?

Answers

Answer:

9.96

Step-by-step explanation:

12 * .83

Answer:

10 hours

Step-by-step explanation:

83% of 12 hours = 0.83 * 12 hours = 10 hours

Does anybody know the answer or how to do this question bellow|−3+2|

Answers

|-3+2|

-3 + 2 would be -1
The ||’s just turned the 1 to a positive
Would be 1

Fiona earns $10 for mowing each lawn and $5 per hour for her work. Write an inequality to show how many lawns she needs to mow in order to earn at least $135.

Answers

Answer: [tex]\geq[/tex] 9 lawns, assuming Fiona spends 1 hour per lawn.

Step-by-step explanation:

Let Y = the amount earned from mowing a lawn.  Let z be the number of hours worked on that lawn.

Y = $10 + $5(z)

We need to know the number of hours, z, for any particular lawn to be able to make this a valid equation.  Not having that, we really can't set up a valid equation.  

But let's assume z=1 for each and every lawn and see what we'd have.

Y = $10 + $5

Y = $15/lawn.

Fiona needs at least $135 for her Broadway ticket.

Let L be the number of lawns mowed.  We need:

L*($15/lawn) [tex]\geq[/tex] $135

L  [tex]\geq[/tex] 9 lawns

what is the volume of the prism ?

Answers

Answer:

Your answer is 150 units!

Your answer is 150 units. hope this helps :)

Find x.
8x-4=4x+12

Thank you!!

Answers

Answer:

4

Step-by-step explanation:

8x - 4 = 4x + 12

Add 4 to both sides:

8x = 4x + 16

Subtract 4x from both sides:

4x = 16

Divide by 4 from both sides"

x = 4

How do I find x in this ?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

[tex]x = 450[/tex]

Refer to attachment for solution ~

so i just added a similar question but the explanation was complicated so me and my mates need help with this one as well

Answers

Answer:

Y = -X + 9

Step-by-step explanation:

yeah-ya....... right?

Tarek can do a job in 4 hours. Aisha can do the same job in 6 hours. How many hours will it take the
two of them to do the job if they work together?

Answers

Answer:

it will take 10 hours

Step-by-step explanation:

6+4=10

what is the x intercept?

Answers

Answerrrrrrrrrr:

- 7/6

HELP ME PLEASE


whats 9+10?​

Answers

Answer:

21

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Which pair of sneakers has the lowest sale price?

A) 20% off $35
B) 10% off $29
C) 15% off $30
D) 30% off $38

Answers

The answer is A because you have to take 20/100-35 and you do the same for A-D

15% off $30 has lowest sale price. Therefore, option C is the correct answer.

What is sale price?

A sale price is the discounted price at which goods or services are being sold.

A) 20% off $35

20/100 ×35

= 0.2×35

=$7

Sale price =35-7=$28

B) 10% off $29

10/100 ×29

= 0.1×29

= 2.9

Sale price =29-2.9

= $26.1

C) 15% off $30

15/100 ×30

= 0.15×30

= 4.5

Sale price =30-4.5

= $25.5

D) 30% off $38

30/100 ×38

= 0.3×38

= $11.4

Sale price=38-11.4

= $26.6

Therefore, option C is the correct answer.

Learn more about the sale price here:

https://brainly.com/question/29199569.

#SPJ2

in figure below, lines r and s are parallel. If the m<1=47° , find:

Answers

Answer:

<3 = 47 degrees

<4 = 133 degrees

<5 = 47 degrees

<6 = 133 degrees

<7 = 47 degrees

<8 = 133 degrees

Angles 1 = 3 = 5 = 7 (vertical angles

Step-by-step explanation:

Indices Home Learning
Simplify the following, leaving your answers in index notation.
1. (39)
2. Zf x 9f
38
3. 124 x 1210
4. (6m)
5. 252-3
6. 42g? = 7g?
7. 39 x 36
35
8. 116 x 116
112 x 11
Solve the following.
9. 7-2
10. 3-3

Answers

Answer:

We know that,

[tex](a^{x}) ^{y} =a^{xy}[/tex]

[tex]a^{x} *a^{y} =a^{x+y}[/tex]

[tex]\frac{a^{x} }{a^{y} } =a^{x-y}[/tex]

Let's solve now.

1) [tex](3^{8})^{4} =3^{32}[/tex]

2)  [tex]7f^{3} * 9f^{9} =63f^{12}[/tex]

3) [tex]12^{4} *12^{10} =12^{14}[/tex]

4) [tex](6m^{5} )^{3} =6m^{15}[/tex]

5)  [tex]\frac{2^{5} }{2^{-3} } =2^{8}[/tex]

6)  [tex]\frac{42g^{7} }{7g^{2} } =6g^{5}[/tex]

7)  [tex]\frac{3^{9}*3^{6} }{3^{5} } =\frac{3^{15} }{3^{5} } =3^{10}[/tex]

8)  [tex]\frac{11^{6}*11^6 }{11^2*11^3} =\frac{11^{12}}{11^5} =11^7[/tex]

9) [tex]7^{-2} =\frac{1}{7^2} =\frac{1}{49}[/tex]

10) [tex]3^{-3} =\frac{1}{3^3} =\frac{1}{27}[/tex]

Hope this helps you.

Let me know if you have any other  questions :-)

Help algebra 2 please

Answers

Answer:

i just need point im so sorry only in Geomotry

I-Ready find the measure of angle RST

Answers

Answer:

Step-by-step explanation:

You need an image for problem to be solved, please repost it with a image, so it can be solved

Name the congruent triangles.

Answers

Answer:

ΔOGD≅ ΔPRC

Step-by-step explanation:

maria has $100 dollars to spend. she wants to buy a sweater for $30 and a pair of jeans for $42. she would like to spend the rest of her money on t-shirts that cost $4 each. how many can she buy?

Answers

Answer:

7 T-Shirts

Step-by-step explanation:

Given:

100 Dollar

30 = sweater

42 = Jeans

4 each = t-shirts

Solution:

30+42 = 72

100-72 = 28

28/4=7

Therefore she can buy 7 T-Shirts.

Answer:

7 shirts

Step-by-step explanation:

100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)

28 (money) / 4 (shirt cost) = 7 (shirts)

Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.

is 6,8,10 a pythagorem theorem? pls help me due rn

Answers

Answer:

Should be

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Using the formula a^2+b^2=c^2, take the square of 6 (6x6=36) and 8 (8x8=64) and add them together to get the square of 10 (10x10=100) 64+36 does equal 100. Remember that the biggest number is c and the two sides a and b have to add to get c.

Need help on this! Plz help

Answers

Answer:

54 degrees

Step-by-step explanation:

First, I need to find the value of t.

So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.

(8t + 6) + (3t + 18) = 90

Now, just solve for t.

11t + 24 = 90

11t = 66

t = 6

Finally, substitute 6 in for t.

8(6) + 6

48 + 6

54

A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane parallel to the base.The original cone had a height of 12 in. and a volume of 810 in3. What is the volume of the tip that was sliced off?
A)30 in3B)60 in3C)90 in3EliminateD)180 in3

Answers

the correct answer is B

hope I helped

The graph of the piecewise function f(x) is shown.
1 f(x)

Answers

Answer:

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.

Ravi Makes lemonade by mixing lemon juice and water for every 1 cup of lemon juice he uses 4 cups of water.

Answers

Answer:1/4

Step-by-step explanation:

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