Write an equation of the line in slope-intercept form and standard form

Write An Equation Of The Line In Slope-intercept Form And Standard Form

Answers

Answer 1

Given:

The graph of a line.

To find:

The equation of the line in slope-intercept form and standard form.

Solution:

From the given graph it is clear that the line passes through the points (0,-3) and (4,0). So, the slope of the line is:

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

[tex]m=\dfrac{0-(-3)}{4-0}[/tex]

[tex]m=\dfrac{3}{4}[/tex]

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

The y-intercept of the given line is -3 and the slope is [tex]\dfrac{3}{4}[/tex]. So, the slope intercept form of the line is:

[tex]y=\dfrac{3}{4}x+(-3)[/tex]

[tex]y=\dfrac{3}{4}x-3[/tex]             ...(i)

Standard form of a line is:

[tex]Ax+By=C[/tex]

Multiply both sides by 4 in (i).

[tex]4y=3x-12[/tex]

[tex]12=3x-4y[/tex]

[tex]3x-4y=12[/tex]

Therefore, the slope intercept form of the line is [tex]y=\dfrac{3}{4}x-3[/tex] and the standard form of the line is [tex]3x-4y=12[/tex].


Related Questions

How do I answer this? I'm so confused

Answers

Answer:

Draw a graph of f(x) and q(x) also find x-intercept and y

Find the area of the shaded region of the trapezoid.
M 찌
18
9
A. 12 sq. units
B. 48 sq. units
C. 60 sq. units
D. 36 sq. units

Answers

the answer is B. have a good night

Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!

Answers

[tex]\mathcal\pink{The \: answer \: is }[/tex]

only one window has height that is a whole number of centimeters

[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]

[tex]\huge\pink{mark \: as \: brainliest}[/tex]

PLZ ANSWER NEED IT ASAP

Answers

Answer:

80 square units

Step-by-step explanation:

beep

I need this fast. PLSS Help.

Answers

Answer:

C

Step-by-step explanation:

Basically, ignore Cleveland bc it is just there to throw you off. Next, I recommend making a number line and plot these numbers.

-15 F -13 F -12 F -10 F -9 F

______________l______l_______l_________l________l__________l_________

Now go through the different options based on if they are warmer (or a bigger number): A (the first one) is not true because -15 is less than -13. B is not true bc is says on the left when it's on the right. D is incorrect because 12 is to the right, not the left :)

The answer is C by order of elimination and by logicccc :)

Hope this helped!!! (psstttt! there's a brainiest button that will really help me :)

For questions 7- 10, given that each shape is a rhombus, find the missing information.
HELP ASAP !!!!

Answers

Answer:

the answer is b

Step-by-step explanation:

/////////////////////////////

Answer:

I think it's B

Step-by-step explanation:

So sorry if I'm wrong. Have a nice day!

5 friends split 1/2 of a chocolate bar. How
much does each friend eat?
Draw a model.

Answers

Answer:

1/10

Step-by-step explanation:

the friends eat 1/10 of the whole bar or 1/5 of half a bar

In how many ways can a committee of 8 sit in a row if the chairman occupies the middle seat?? ​

Answers

They can all sit beside the chairman

find the mean and median of these data: 2, 7, 13, 15, 17, 19

Pls Pls answer and HURRY​

Answers

Answer:

Mean: 12.166

Median: 14

Step-by-step explanation:

Answer:

mean: 73 ÷ 6 (amount of numbers in the list) = 12.166

median (middle number): 14

Step-by-step explanation:

to find the mean (average) you add all the numbers in the list and divide by the numbers there are (6 in the above problem)

2+7+13+15+17+18 = 73÷6 = 12.16

select the three fractions that are less than 1/2

Answers

Answer:

A,D,F are less then 1/2

Step-by-step explanation:

Answer:

1/8

1/16

1/6

Step-by-step explanation:

1. 1/2 = 0.5              2. 1/2 = 0.5

  1/6 = 0.167               1/8 = 0.125

29 minebvfbtynuixxmiwqwnnnfbrfbrttghtbbnuqeien

Answers

Answer:

ok? pulls out really rare pokemon card ;)

Step-by-step explanation:


Deann saved y dollars last month. She saved more than 3 times as much as the amount of money her brother saved, x. Which inequality
represents the relationship between the amounts of money Deann and her brother saved?
-100 POINTS-

Answers

Answer:

Yx3 > X

Step-by-step explanation:

Hope this helps! Owa Owa!

Answer: i dont know

Step-by-step explanation:

divide then write in simplest form 5 divided by 5/6, 3 divided by 5/6, 10 dived 5/6 4 divided 5/9, 6 divided by 2/3

Answers

Answer:

Step-by-step explanation:

y= -1/4x

Use the distributive property to match equivalent expressions.
74-4 - x)
28 - 7x
-28 - 7x
-7(4-x)
28 + 7x
7(4 + x)
-28 + 7x
-7(4+x)

Answers

Answer:

7(-4 - x) = -28 - 7x

-7(4 - x) = -28 + 7x

7(4 + x) = 28 + 7x

-7(-4 + x) = 28 - 7x

Step-by-step explanation:

To apply the distributive property, use the term outside the bracket to multiply each of the term you have inside the bracket.

Thus:

✔️7(-4 - x) = 7(-4) +7(-x)

= -28 - 7x

✔️-7(4 - x) = -7(4) -7(-x)

= -28 + 7x

✔️7(4 + x) = 7(4) + 7(+x)

28 + 7x

✔️-7(-4 + x) = -7(-4) -7(+x)

= 28 - 7x

Write an inequality for the graph below.

Answers

the answer is B. 1/2 > m

The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?

Answers

Answer:

192 markers

Step-by-step explanation:

if 8 = 4% then 2=1%

so we can assume there are 200markers in the package.

8-200= 192 markers

1.
What is the equation of a circle with center (-5, 8) and radius 9?

Answers

Answer:

Your equation is:

(x−5)2+(y+8)2=92

Expanding from general form you can write this as:

x2−10x+y2+14y+−8=0

Step-by-step explanation:

i think its correct ig don't know sry but i tried hope it helps you ✨

Answer:

[tex](x+5)^2+(y-8)^2=81[/tex]

Step-by-step explanation:

General equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].

Center coordinates = (-5, 8)

a = -5           b = 8          r = 9

[tex]\\(x+5)^2+(y-8)^2=9^2[/tex]

[tex](x+5)^2+(y-8)^2=81[/tex]

Please do mark as brainliest. Hope this helps! :)

sundip and emma have some money
the ratio of sundips money to emmas money is 3:5
emma spends £450 of her money
the ratio of sundips money to emmas money is now 2:3

found how much money sundip has

Answers

Answer:

Step-by-step explanation:

Can you please answer the Sundip Ratio question?

£180.00

The amount of money Sundip have  £ 2700.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

ratio of sundips money : emmas money = 3:5

emma spends £450

ratio of sundips money : emmas money = 2:3

So, Sundip have money = 3x and Emma have money = 5x.

Now, Emma spends £450.

then she is left = (5x-450).

Now, the ratio of Sundip's money to Emma's money is given as 2:3 = 2/3.

2/3 = 3x/(5x-450).

2(5x-450) = 3*3x

10x - 900 = 9x

x = 900.

Thus, Sundip have 3x = 3 x 900 = 2700.

Learn more about Ratio here:

brainly.com/question/2784798

#SPJ2

What is the rate of change of the function y
- 2 x – 52

Answers

Answer:

The rate of change is -2

Step-by-step explanation:

Given

[tex]y = -2x - 52[/tex]

Required

The rate of change

The slope intercept of a fuction is:

[tex]y =mx + b[/tex]

Where

[tex]m \to[/tex] rate of change

So, by comparison; [tex]y = -2x - 52[/tex] and [tex]y =mx + b[/tex]

[tex]m = -2[/tex]

what is 30 percent of 279?

Answers

Answer: 83.7

Step-by-step explanation: Do 0.3 x 279 to get 83.7.

Solution for What is 30 percent of 279: 83.7%.

Karen makes $5 per hour baby-sitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend baby-sitting?

F)11
G)9
H)6
J)7​

Answers

Answer:

F) 11

Step-by-step explanation:

We know that she worked 18 hours, and earned $139.

Let's just say that she spent x hours baby-sitting.

If she makes $5 per hour, the total amount of money she earned from baby-sitting would be 5x.

If she spent x hours baby-sitting, that would mean that she spent 18-x hours giving music lessons.

So, the total amount of money she earned from music lessons would be 12(18-x).

Now we can plug this into an equation.

5x + 12(18-x) = 139.

5x + 216 - 12x = 139.

5x - 12x = -77

-7x = -77

x = 11.

This means that she spent 11 hours baby-sitting.

Hope this helps!

can I get some help?

Answers

Answer:

60x80 i think 4800

Step-by-step explanation:

What is the volume of the rectangular prism shown below?
in.
in
3 in.
63 in
in.

Answers

Volume = length x width x height

Volume = 6 1/2 x 3 x 4/5 = 15 3/5 cubic in.

Answer:

15 3/5.

Step by Step Explanation:

4/5 * 3 = 2 2/5

2 2/5*6 1/2 = 15 3/5.

I need help with What’s the missing measure G bahah

Answers

Answer:

x = 33°

Step-by-step explanation:

57 + 90 + x = 180

147 + x = 180

x = 33

How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?

Answers

Answer:

$1,125.26

Step-by-step explanation:

Start of Year 1 5000.00

Start of Year 2 5350.00

Start of Year 3 5724.50

Start of Year 4 6125.26

Ms. Parvin pays a tax every year because she owns a house.
Which term best describes this tax?

Answers

Answer:

it's called property tax

Step-by-step explanation:

when you have to pay taxes on property you have its property tax

What are the values of x and y in the diagram? Use an equation to solve the problem. (the diagram
has 2 different y's, so you need the TOTAL of the y's)

Answers

Answer:

x =35

y=72.5 and the 2nd y also equals 72.5

Step-by-step explanation:

x=35- it is a vertical angle

both ys + 35 makes a straight line (180)

2y+35=180

2y=145 (subtract 35 from both sides)

y=72.5 (divide by 2)

Use long division to determine the decimal equivalent of 5/9
A 0.3
B 04
C 0.5
D 0.6

Answers

Answer:

C) 0.55...

Step-by-step explanation:

the correct answer is D because 5 divided by 9 is 0.5555 and rounded that makes it 0.6! hope this helps

Write a rule of the nth term of the sequence: 2,20,50,92,...

Answers

9514 1404 393

Answer:

  d  an = 6n^2 -4

Step-by-step explanation:

You only need to look at the values of the expressions for n=1 to determine the correct formula.

For n=1, the formula values are ...

a: 4 +6 = 10b: 4 -6 = -2c: 6 +4 = 10d: 6 -4 = 2 . . . . . . the correct first term

The rule for the sequence is ...

  [tex]a_n=6n^2-4[/tex]

Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.

S1 = 4
S2 = 6.84
S3 = 10.156

The sequence diverges.

Answers

Answer:

b and d

Step-by-step explanation:

edge 2021

If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.

What is a geometric sequence?

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

a, ar, ar², ar³, ...

The sequence is given below.

[tex]\rm a_n = 4 (0.9)^n[/tex]

Then the sum of the sequence will be given as

The first term (a) is 4. And the common ratio (r) is 0.9.

Then we get

[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]

For n = 1, we have

S₁ = 40 (1 - 0.9)

S₁ = 40 x 0.1

S₁ = 4

For n = 2, we have

S₂ = 40 (1 - 0.9²)

S₂ = 40 x 0.19

S₂ = 7.6

For n = 3, we have

S₃ = 40 (1 - 0.9³)

S₃ = 40 x 0.271

S₃ = 10.84

If the common ratio is less than one then the sequence will diverge.

Learn more about geometric sequence here:

https://brainly.com/question/2735005

#SPJ2

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