Write the equation of the line which passes through (1, 2) and with slope of −1/3
in standard form.

Answers

Answer 1

Answer:

         x + 3y = 7            

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                                y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2)    ⇒   x₁ = 1,  y₁ = 2

Therefore,  the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃                     {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃                     {add 2 to both sides}

¹/₃x + y = 2¹/₃                       {multiply both sides by 3}

x + 3y = 7            


Related Questions

Plane tickets to Chicago usually cost $120. On a travel deal website, you scored a coupon for 35% off. Your budget for the trip allows you to spend a hundred dollars on a ticket; can you go?

Answers

Answer: yes it’s 78$

Step-by-step explanation: The difference is 42.00

dennis had four children. Each child had three kids.

Answers

What’s the question?

Answer: ok lol so what is you question

Step-by-step explanation:

Can someone help me and give an explanation

Answers

Two triangles: left triangle with y degrees and 40 degrees and right triangle with x degrees.

40 degrees from the left triangle, when adding with the unknown angle of the right triangle, is equal to 180 degrees. Adding left triangle's (third) undetermined angle and x degrees angle (the other same angle), is equal to 90 degrees. The right triangle is an isosceles triangle, meaning two equal angles, and one of them is x degrees. Thus, the other same angle is also x degrees.

----------------------------------------------------------------------------------------------------------

1) Subtract 180 - 40 = 140 degrees. 140 degrees is the unknown angle of right triangle.

2) 140 + x + x = 180 (equation)

140 + 2x = 1802x = 180 - 1402x = 40 x degrees = 20 degrees

ANSWER: x = 20 DEGREES

----------------------------------------------------------------------------------------------------------

1) With knowledge of x degrees being 20 degrees, the other same angle is 20 degrees, too.

2) Subtract 90 - 20 = 70 degrees. 70 degrees is the (third) undetermined angle

of left triangle.

2) 70 + 40 + y = 180

110 + y = 180y = 180 - 110y = 70 degrees

ANSWER: y = 70 DEGREES

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Whew. Hope this helps you out, and let me know asap if you're confused on any part.

Write 3.72 as a mixed number in simplest form.

Answers

Answer:

3 18/25

Step-by-step explanation:

Rewrite as [tex]3\frac{72}{100}[/tex]

Simplify 72/100. The greatest common factor of 72 and 100 is 4

72 / 4 = 18

100 / 4 = 25

Final answer:

[tex]3\frac{18}{25}[/tex]

can someone help pls

Answers

Answer:

the answer is 216 sq cm.

Step-by-step explanation:

Do 12×14=168. Then 12×8=96. Then 96/2=48. Then add 168+48=216.

Answer:

216

Step-by-step explanation:

12x 14=168

8x12=96

96/2=48

168+48=216

What is 5x+24=134 thank you so mich have a wonderful day

Answers

Answer:

x = 22

Step-by-step explanation:

5x + 24 = 134

134 - 24 = 110

110 / 5 = 22

x = 22

I need help finding the slope

Answers

Answer:

oh, well, sorry

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Slope is rise over run.

Please help ASAP I’m really confused please help!!!

Answers

Answer:

top right pls give brainliest

Step-by-step explanation:

John walks dogs to earn extra money. He earns $5 per dog he walks. Using the following equation y = 5x, where x =the number of dogs John walks
and y = the number of dollars John earns.
What is the number of dollars John earns if he walks 8 dogs?

A. $3

B. $13

C. $25

D. $40

Answers

8 dogs so 5*8= 40

so it's D

40$ i believe if it’s wrong I’m sorry but I pretty sure it’s 40$

What should be true in order for a scatter plot to show that a linear fit may be appropriate for a data set?
O The points should form an upward curve.
O The points should be scattered randomly.
O The points should appear to lie generally along a line.
O The points should form one line above the x-axis and another below it.

Answers

on a scatter plot, the points are randomly placed around the graph

On a scatter plot, the points are randomly placed around the graph. The correct option is B.

What is a scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

A scatter (XY) plot is a vertical data visualization method for displaying the relationship between two sets of data. It is a graphical display of data that consists of a collection of points plotted in a two- or three-dimensional plane.

The locations of the points in a scatter plot are chosen at random. The best choice is B.

To know more about scatter plots follow

https://brainly.com/question/6592115

#SPJ6

PLZ HELP THIS IS TIMED;((((((

Answers

Answer:

34

Step-by-step explanation:

Diameter is twice length of radius

Answer:

Diameter=34 cm

D.

Step-by-step explanation:

Diameter=radius*2

17*2=34 cm

Aaron answered 7 out of 12 questions correctly on his last English quiz. Find his grade
to the nearest whole percent.

Answers

divide 7 by 12
which would give you 0.58
so that’s 58%

Answer:

Step-by-step explanation:

58%

7/12 into a percentage

Plzzzz help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy?
I will give you brainliest and 15 points

Answers

Answer:

she brought 21 shirts and 2 pants

Step-by-step explanation:

shirts

21× 14.50 = 304.5

357- 304.5 = 52.5

pants

52.5 ÷ 25 = 2.1

What is the perimeter of the composite figure?

Enter your answer in the box.
perimeter = yd

Answers

Answer:

what

Step-by-step explanation:

for your answer of this question

perimeter =sum of all side.

sorry I am unable to find perimeter without figure.

Triangle DEF is similar to triangle D'E'F'.Triangle D E F is rotated about point F and is shrunk to form triangle D prime E prime F prime. Which similarity transformation could map △DEF to △D'E'F'? dilation and reflection dilation and translation rotation and dilation rotation and reflection

Answers

Answer:

The answer is "Rotation and dilation".

Step-by-step explanation:

The rotation is a spatial movement, which maintains at least one stage. The dilation of a transition affects a figure's dimensions. The center, as well as a scale factor k, are required Which meaning k determines if the expansion is an expansion or a decrease, therefore the above choice is correct because it just rotated and dilated from its original form.

Answer:

A i think

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Which function is represented by this graph?
A: f(x)=|x+7| - 3
B: f(x) = |x - 7| - 3
C: f(x) = |x + 3| - 7
D: f(x) = |x - 3| - 7

Answers

i believe it would be B: f(x) = |x-7|-3

Answer: B

Step-by-step explanation: B

B :)

can someone please answer i will mark brainliest

Answers

a) 2007
b) 120
c) the donations are decreasing as years increase

Answer:

a. 2007

b. 120,000

c. the amount of money raised each year is decreasing

Step-by-step explanation:

sorry if im wrong just pay very close attention to the graph

Which of the following is an equation of a line that is parallel to one whose equation is y = 5x - 3?

Answers

Any line that has 5 as its slope. So which ever one says “5x”

Which angles are complementary to 1? Select all that apply.

Answers

Answer:

angle 6 and angle 3

Step-by-step explanation:

angle 1 and angle 6 add up to 90 degrees

angle 6 is vertical to angle 3, so 1 is complementary to 3 as well

The length of a rectangle is 4 times the width, w. Which expression represent the perimeter of the rectangle

Answers

Answer:

10w

Step-by-step explanation:

→ Work out the length

4 × w = 4w

→ State width

w

→ Find perimeter

4w + 4w + w + w = 10w

Kara donated 28 books to the book drive. Shawn donated some books. Kara donated 4 times as many books as Shawn.

What you have to do to solve the question:

Draw a diagram to represent Kara and Shawn's books, then solve how many books Shawn donated. can you draw it in a 4th grade way cuz im in 4th grade thank you.!

Answers

Answer:

i dont know how to make diagram for it but

Step-by-step explanation:

shawn donated 7 books

Select the expression that can be used to find the volume of this rectangular prism. A. ( 6 × 3 ) + 15 = 33 i n . 3 (6×3)+15=33 in.3 B. ( 3 × 15 ) + 6 = 51 i n . 3 (3×15)+6=51 in.3 C. ( 3 × 6 ) + ( 3 × 15 ) = 810 i n . 3 (3×6)+(3×15)=810 in.3 D. ( 3 × 6 ) × 15 = 270 i n . 3

Answers

Answer:

D

Step-by-step explanation:

(3x6)x15=270 in

the volume formula is base times width times height.

Answer:

D

Step-by-step explanation:

i took the quiz

Help plsss
Calculate the area

Answers

Answer:

140 feet squared

Step-by-step explanation:

Let's do this step by step. First, let's find the area of the rectangle, which is 8 times 10. It equals 80. Next, do the trangle. 6 times 10 is 60. So, 60 plus 80 equals 140.

Answer:

area of rectangle =L*B

8*10=80ft^2

area of triangle=1/2b*h

h is 8 ft

1/2*6*8

3*8

24ft^2

total area is 80+24

104ft^2

nearest tenth = 100 ft^2

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Charlie has dimes and quarters that have a value of $26.50. He has 15 fewer dimes than quarters. Which system of equations can be used to determine the number of dimes, d, and quarters, q?

A. q=d-15, d+q=26.50
B. d=q-15, 0.1d+0.25q=26.50
C. q=d-15, 0,1d+0.25q=26.50
D. d=q-15, d+q=26.50

Answers

I’m pretty sure it’s c if not sorry

answer this mannnn i need hemo

Answers

a - 1 will be positive.

a is to the right of the positive number 1 on the number line. Subtracting 1 from a will give a result that is still to the right of zero, which means a positive number.

Can someone help me and leave a description of how to do the problem? I need help asap!

Answers

Answer is already posted

Answer:

Step-by-step explanation:

Find the location of the center of a circle if the endpoints of the diameter are at (-10,
-5) and (8,4).

Answers

Answer:

(- 1, - [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

The centre is located at the midpoint of the diameter.

Using the midpoint formula , then

centre = [tex]\frac{-10+8}{2}[/tex], [tex]\frac{-5+4}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-1}{2}[/tex] ) = (- 1, - [tex]\frac{1}{2}[/tex] )

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????

Answers

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

[tex]Saving=25\%\text{ of }200[/tex]

[tex]Saving=\dfrac{25}{100}\times 200[/tex]

[tex]Saving=25\times 2[/tex]

[tex]Saving=50[/tex]

Therefore, the money saved by Katherine is $50.

What is the expression?

Answers

Answer:

12(2r + 3) is the completed form.

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