Write an equation of a line with slope -3/2 and x-intercept (4,0)

Answers

Answer 1

Answer:

An equation of a line with slope -3/2 and x-intercept (4,0) will be:

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given

Slope m = -3/2x-intercept (4, 0)

now substitute m = -3/2 and the point (4, 0) in the slope-intercept form of line equation

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

[tex]0\:=\:-\frac{3}{2}\left(4\right)\:+\:b\:\:\:\:\:[/tex]

[tex]-6+b=0[/tex]

Add 6 to both sides

[tex]-6+b+6=0+6[/tex]

Simplify

[tex]b=6[/tex]

Thus, the y-intercept b = 6

now substitute m = -3/2 and b = 6  in the slope-intercept form of line equation

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

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

Therefore, an equation of a line with slope -3/2 and x-intercept (4,0) will be:

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]


Related Questions

The integer to represent a gain of 9 pounds would be ______.

Answers

Answer: -9

Step-by-step explanation:

Divide. Write the quotient in lowest terms.
1 1/4 divided by 1 2/5

Whoever answers first and accurately will mark brainliest!

Answers

Answer:

25/28

Step-by-step explanation:

convert to mixed numbers 5/4 divided by 7/5

Then keep, change, and flip to get your answer. Hope this helps. Good Luck.

Find the equation of the line with x-intercept (-4,0) and y-intercept (0,9).

Answers

Answer: The answer is Y=(9/4)x+9  

Step-by-step explanation: There is various ways to do it. Just find the formula first and then apply the steps to solve. Hope it helps.

A circle with center B and radius 1cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA and BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.

Answers

Answer:

8 cm

Step-by-step explanation:

A circle with center B and radius 13 cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA is perpendicular to BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.

Solution:

Since the radius of the circle is 13 cm, hence:

BF = BD = BE = 13 cm.

For line segment BE; BE = BC + CE

BE = BC + CE

13 = BC + 1

BC = 13 - 1

BC = 12 cm

AD = BC = 12 cm (opposite sides of a rectangle are equal to each other)

Triangle ABD, is a right angled triangle because ∠B = 90°. We can use Pythagoras theorem to find AB:

BD² = AB² + AD²

13² = AB² + 12²

169 = AB² + 144

AB² = 169 - 144

AB² = 25

AB = √25 = 5

For line segment BF, we can use the line segment addition postulate to find the distance from A to F. Let x be the distance from A to F:

BF = AB + x

x = BF - AB

x = 13 - 5

x = 8 cm

What is the equation of a line that has a slope of 0 and goes through the point (4, 10)?

Answers

Answer:

y =10

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 0 and (x0, y0) = (4, 10)

On substituting;

y - 10 = 0(x-4)

y - 10 = 0

y = 0+10

y = 10

Hence the required equation of the line is y =10

Select the correct answer.
What are the solutions to this equation?
3
25 - 5
O A
= -1 and r = -0.4
OB.
=
-2 and r = 2
C.
r = -3 and r =
0.5
OD
r = -0.5 and r = 3

Answers

Answer:

D

Step-by-step explanation:

Either try all the numbers and see which ones work or do the following.

Times both sides by 2x-5.

3=x(2x-5)=2x^2-5x

Rearrange and solve the quadratic. I will factorise.

2x^2-5x-3=0

(2x+1)(x-3)=0

so x = -1/2 or 3

Select all that apply.

Which graphed lines represent direct variation functions?


line d
line b
line c
line a

Answers

Answer:

Hope this helps~

Step-by-step explanation:

Look at the graph they gave you. ... At first it looks like an ugly mess.

But look closer.  There are only two lines there that go through the origin,

so one of those is the answer to the question.

Now let's talk about the slope of a line.

 

-- If the slope of a line is positive, that means it rises as it goes.

  If you walk the graph from left to right, you're climbing.

-- If the slope of a line is negative, that means it falls as it goes.

  If you walk the graph from left to right, you're going down-hill.

The equation they gave you is  [ y = 1/2 x ].

The slope is  1/2 .  That's positive.

The line on the graph slopes up.  To walk it, you have to climb.

In the picture, that can only be line 'c' .

Answer:

The equation they gave you is  [ y = 1/2 x ].

The slope is  1/2.  That's positive.

The line on the graph slopes up.  To walk it, you have to climb.

What is the decimal expansion of the following fraction? 1/8 A. 0.125 B. 0.125 C. 1.8 D. 0.18​

Answers

Answer:

0.125....................

helppp i have this test due soon :C

Answers

Answer: D.)

Step-by-step explanation:

Add the rates. 3:1 (3+1)=4

multiply it to the rate. 3(4), 1(4) = 12 and 4

Side a is 12 inches long and side b is 4 inches long.

Brianna wants to buy a digital camera for a photography class. One store offers the camera for $49 down
and a payment plan of $20 per month. The payment plan for a second store is described by y - 15x + 79,
where y is the total cost in dollars and x is the number of months. Which camera is cheaper when the
camera is paid off in 12 months? Complete the explanation.

Answers

Answer:

Step-by-step explanation:

Cost of the camera at one store,

Down payment = $49

Per month payment = $20

Duration of the payment = 12 months

Total payment to be done = down payment + payments to be done in 12 months

= 49 + (20×12)

= 49 + 240

= $289

Cost of the camera at second store,

Equation describing the payment plan,

y = 15x + 79

Here, x = number of months

y = Total amount to be paid

If x = 12 months

y = (15×12) + 79

y = 180 + 79

y = $259

The camera at the second store is cheaper when the camera is paid off in 12 months because the cost at the first store is $289 and the cost at the second store is $259.

Plz help... need it quick

Answers

Answer:

id say the big triangle and the rectangle

Step-by-step explanation:

sorry if im wrong

Does anyone know what would be the equation for this Emily has $250 in her savings account. She plans to save $15 per week from her salary. Jasmine has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?
Just the equation

Answers

Answer: 10 weeks
Step-by-step explanation:
Nilda's money = 250 +15x being x the number of weeks that have passed
Lona's money= 200+20x
If they have the same amount, then
250+15x=200+20x
250-200=(20-15)x
50=5x
50/5=x
10=x
10 weeks long that the answer hope this helps

Divide:

16)160

A. 10

B. 11

C. 16

D. 26

E. 100

Answers

Answer:

10

Step-by-step explanation:

your welcome...............

just need answeer....​

Answers

Answer:

16 degrees

Because 180-164= 16

Answer:

16

Step-by-step explanation:

It would be 180 without the line so if both sides were put together it would have to be 180 so you would do 180-164= 16

29-2(3-5w)>13 help plzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

29-2(3-5w)>13  Equation/Question

Step 2

29-2(3-5w)>13  Simplify

29-2(3-5w)>13

Step 3

29-2(3-5w)>13  Subtract 23

10w>-10

Step 4

10w>-10  Divide by 10

answer

w>-1

Hope this helps

This one is timed. Please help!!!!!!

Answers

Answer:

n=2

Step-by-step explanation:

Answer:

the value of n is 2 llalala

I also need help on this one

Answers

Answer:

A

Step-by-step explanation:

27-9=18

18=18

5(27)=135

135=135

Drawn the graph of y=6-2x on the grid

Answers

Answer:

Please check attachment

Step-by-step explanation:

Here, we want to plot the graph of y = 6-2x on the grid

We can rewrite this to look like the general form as;

y = -2x + 6

The y-intercept is 6

This point is (0,6)

For the x-intercept, equate y to 0

0 = -2x + 6

2x = 6

x = 6/2

x = 3

The x-intercept is (3,0)

So we have to join the point (3,0) with (0,6)

Please check the attachment for the plot of this on the grid

help meeeeeeeeeeeeeeeeeee

Answers

Answer:

I believe its D and E

Step-by-step explanation:

Does that help

Question 13(Multiple Choice Worth 4 points)
(01.06 LC)
Rearrange the equation A = 4xy to solve for X.
Ox
4y
A
Ox=
A
4y
OX=
4Ay
Х
X=
Ax
4y

Answers

Answer:

its

x = A/4y

Explanation:

when we send 4 and Y to the left hand side, their signs changes from multiplication to division and since they were in the numerator, they go to the denominator on the other side.

hope this helps.

What is the sum of -19 and — 76?

Answers

Answer:

-95

Step-by-step explanation:

The solution is -95

The value of the equation A = -16 + ( -76 ) is A = -95

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = the sum of -19 and -76

On simplifying the expression , we get

A = ( -19 ) + ( -76 )

On simplifying the equation , we get

A = -19 - 76

The value of A = -95

Therefore , the value of A is -95

Hence , the solution of sum of -19 and -76 is -95

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Convertir a decimal 5/8​

Answers

Answer:

I'm pretty sure it's 0.625

10b = 6 Please help me

Answers

b= 3/5
Divide both sides by 10

Answer:

The correct answer is 3/5 which also equals to 0.600

I have attached a picture of the solution below.

Harley-Davidson motorcycles make up 14% of all motorcycles registered in the US. You plan to interview an SRS of 500 motorcycles owners. How likely is your sample to contain 20% or less who own Harleys

Answers

0.00005 probability or 0.005%

Need help as fast as possible it’s urgent!!! :) ❤️


Graph the following equations using the given slope and y-intercept.

Answers

Answer:

I hope I'm right in my answer to that

Jackson invested $8,800 in an account paying an interest rate of 7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 13 years?

Answers

Answer:

$21,860

Step-by-step explanation:

The amount after 3 years will be $ 21,206.6

To understand more, check below explanation.

Compound interest:

If the amount P is invested at the rate of r% for n years.

Then amount after n years is computed as;

Given that, Principal = $8,800 , r = 7% and n = 13 years.

                   [tex]A=P(1+\frac{r}{100} )^{n}\\ \\A=8800(1+\frac{7}{100} )^{13} \\\\A=8,800*(\frac{107}{100} )^{13}\\ \\A=\$ 21206.6[/tex]

Hence, the amount after 13 years will be $ 21,206.6

Learn more about the compound interest here:

https://brainly.com/question/24924853

click photo for question

Answers

Answer:

see explanation

Step-by-step explanation:

There is a common difference d in the values, that is

9 - 5 = 13 - 9 = 17 - 13 = 21- 17 = 4

To obtain a term in the sequence add 4 to the previous term, thus

t₉ = t₈ + 4 → C

(b)

Given the n th term formula 3n - 8

To find any term, substitute the term position n into the formula

(i) first term (n = 1), then

3(1) - 8 = 3 - 8 = - 5

(ii) tenth term (n = 10, then

3(10) - 8 = 30 - 8 = 22

(iii) 100 th term ( n = 100), then

3(100) - 8 = 300 - 8 = 292

Plz help me ASAP ;-;

Answers

Option 1! If you expand the bracket and simplify.

Answer:

The person who answered it first is correct

Step-by-step explanation:

What is the slope for (5,7) (-4,-2)

Answers

Answer:

Slope = 1

Step-by-step explanation:

(5,7) (-4,-2) Answer:1

i don’t really understand how to do this can someone help?

Answers

Answer:

look down

Step-by-step explanation:

you should have 2 points substitute in slope formula above the question

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