Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.

through:
(0,3)(−4,5)

Answers

Answer 1

Step-by-step explanation:

General line equation: y = mx + c

When x = 0, y = 3. => (3) = m(0) + c, c = 3.

When x = -4, y = 5. => (5) = m(-4) + c,

5 = -4m + (3), -4m = 2, m = -0.5.

Hence the answer is y = -0.5x + 3.

Answer 2

Answer:

y=-[tex]\frac{1}{2}[/tex]+3

Step-by-step explanation:

To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)

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

=[tex]\frac{5-3}{-4-0}[/tex]

=2/-4

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

next, calculate b by substituting a point (0, 3) into the equation

y=mx+b

3=(-1/2)(0)+b

b=3

final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3


Related Questions

Solve −5z+1<−14.

solution is __

Answers

Answer:

z>3

Step-by-step explanation:

Answer:

Z>3 ..hope this helped!

Step-by-step explanation:

I WILL GIVE BRAINLIEST TO RIGHT ANSWER
write an equation of the line in a slope intercept form has a slope of -1/2 and passes through the point (2, 3)

Answers

Answer:

        y = -¹/₂ x + 4

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -¹/₂

(2, 3)    ⇒   x₀ = 2,  y₀ = 3

The point-slope form of the equation:

y - 3 = -¹/₂ (x - 2)

So:

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

y = -¹/₂ x + 4            ←  the slope-intercept form of the equation

Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.

Answers

Answer

Martin has 50 indie CDs and 70 dance CDs

Step-by-step explanation:

5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs

A train travelled 300 kilometres in 5 hours. Find it's rate of speed

Answers

Answer:

The train traveled 60 kilometers per hour.

Step-by-step explanation:

300/5=60

Answer:

60 km/hours

Step-by-step explanation:

in the picture above.

Select ALL that apply.​

Answers

Answer:

your picture is not loading for me

The slope is -4 so A, B, D is not the answer
The answer is C and E

Can somebody help me with this please

Answers

Answer:

Domain: [ 0,∞), {x|x ≥ 0}

Range: (-∞,-4], {yly ≤ -4}

Step-by-step explanation:

The sequence below shows the number of bacteria Arjun observed each hour for a science experiment:
5, 20, 80, 320, 1, 280,...
Which recursive function describes the number of bacteria observed at the nth hour?

Answers

Answer: f(1) =5

f(n+1)=4f(n)

Step-by-step explanation:

Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?

Answers

Given:

Amount spent on 2 DVDs = $41.75

Sales tax = $3.15

Coupon = $1.00 off

To find:

The cost of each DVD.

Solution:

Let x be the cost of each DVD.

Then, cost of two DVDs = 2x

Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount

[tex]41.75=2x+3.15-1.00[/tex]

[tex]41.75=2x+2.15[/tex]

[tex]41.75-2.15=2x[/tex]

[tex]39.6=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{39.6}{2}=x[/tex]

[tex]19.8=x[/tex]

Therefore, the cost of each DVD is $19.8.

Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.

Answers

Answer:

8 16

Step-by-step explanation:

3/16+5+16=8/16

16/16(the whole mug)-8/16=8/16

Answer:

8 16

Step-by-step explvanation:

Find the value of x
help asap

Answers

Answer:

56 + 56 = 112

180 - 112 = 68

68 + 68 = 136

180 - 136 = 44

x= 44

It’s what the other person saidd

Create an equivalent system of equations using the sum of the system and the first equation. −5x + 4y = 8 4x + y = 2

Answers

Answer:

−5x + 4y = 8

−x + 5y = 10

Step-by-step explanation:

Choose the product of (3x2 + 7)(6x2 - 4x + 5).​

Answers

Answer:

18x^4 - 12x^3 + 57x^2 - 28x +35

Step-by-step explanation:

Step-by-step explanation:

(3×2+7)(6×2-4x+5)= -52x +221

(-6,5)
(7,-3)
What is the slope

Answers

Answer:

-8/13

Step-by-step explanation:

The slope of (-6,5) and (7,-3) is -8/13.

Answer: pretty sure it’s -8

Step-by-step explanation:

I used the slope formula which is:

m= y2-y1/x2-x1

m= -3-5/7-6

m= -8/1

m= -8

jackson has $19 savings account the interest rate is 15% per year and is not compounded how much will he have in 3 years? use formula i=p*r*t, where i is the interest earned, p is the starting amount, r is the interest rate expressed as a decimal, and t is the times in years.​

Answers

Answer:

I = 19 X 0.15 X 3= 8.55

I = $8.55

When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?

A. 6 percent increase
B. 9 percent increase
C. 10 percent increase
D. 90 percent increase

Answers

C it was a 10 percent increase

Answer:

C.

Step-by-step explanation:

Use substitution to solve the system.
3x+5y = 2
y = 2x-10

Answers

Answer:

x = 4, y = -2

Step-by-step explanation:

Answer:

x = 4

y = -2

Step-by-step explanation:

[tex]3x + 5y = 2[/tex]

[tex]y = 2x - 10[/tex]

[tex]3x + 5(2x - 10) = 2[/tex]

[tex]3x + 10x - 50 = 2[/tex]

[tex]13x = 52[/tex]

[tex]x = 4[/tex]

Now,

[tex]y = 2(4) - 10 [/tex]

[tex]y = 8 - 10[/tex]

[tex]y = - 2[/tex]

what is this equation simplified as?

Answers

Answer:

-14/25

Step-by-step explanation:

:D

Help will mark brainliest

Answers

Answer:

36

Step-by-step explanation:



Write a story that could represent this math problem.

Answers

Answer:

Every year, my aunt Yannah makes 4 Pumpkin Pies for thanksgiving. She always cuts them into 8th's for all of us and for me and my family to share. This year, only 3/8 was eaten of each Pumpkin Pie. I want to know how much of the Pumpkin Pie was eaten, and if my aunt Yannah should make less pie next year? 

That is the story ^

                           |

ANSWER: 12/8

HELP HELP HELP pleaseesjnsnsns

Answers

Answer:

C.

Step-by-step explanation:

12x+3 add them together

It’s B ! 7+4 is 11 not 12

whers is the place in ur house that ur ferret hides ur keys the most often

Answers

Answer:

Under couch

Step-by-step explanation:

A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.



Assuming that the ship travels at a constant speed, what is its speed? Show your thinking.

Answers

Answer:

25 miles per hour

Step-by-step explanation:

.5=12.5 and .5×2= 1

12.5×2=25

Which of the following is not a geometric tool?

A.Compass
B.Pen
C.Protractor
D.Set Squares

Answers

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

Pls AWNSER this one question thanks!

Answers

9514 1404 393

Answer:

  2)  y = kx

Step-by-step explanation:

Direct variation is described by the formula ...

  y = kx

where 'k' is the constant of proportionality.

19/10 equals x - 23/6


Please help me quickly!!!

Answers

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

what is the missing term of ..9, __ , 19

Answers

Answer:

The answer could be anything, but if it's an arithmetical sequence, then it's 14.

Step-by-step explanation:

I'm assuming that the added numbers always stay the same, meaning it's linear. If you add 5 to 9, you get 14. If you add 5 again, you get 19. Another way of doing this is (19-9)/2 = 5, then 9+5=14.

True or False: If there are multiple operations inside a parentheses, you do not need to complete these in the order of PEMDAS.

Answers

Answer:

False

Step-by-step explanation:

I would say false. The operations inside should always go by PEMDAS unless instructed otherwise

Answer:

FALSE

Step-by-step explanation:

Within a set of parentheses, the order of operations should be followed. This is because you will get the wrong answer if you don't.

I need help with this plz

Answers

The answer is b sense it’s asking I’m simplest form

A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.



Assuming that the ship travels at a constant speed, what is its speed? Show your thinking. PLZ HELP

Answers

Answer: speed (s) = distance (d) divided by time (t)

Step-by-step explanation: You can see that every 30 minutes or 0.5 hours, the ship's distance increases by 12.5 miles. The problem even say the ship's speed is constant...so it doesn't matter which numbers you use for your calculation just used the time with the corresponding distance.

PLz help i dont want to fail

Answers

Answer:

D

Step-by-step explanation:

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