how do i find an equation for a line with an x-intercept of 4 and a y-intercept of -2

Answers

Answer 1

Answer:

The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.  

Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.

The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)

The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)

Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.

Step-by-step explanation:


Related Questions

Genesis has 2/3 of her birthday cake left and she wants to share it between 3 of her friends. How much of the original cake will each friend receive? Kaycee says 6/9 Tari says 2/9 Janiyah says 3/9 Who is correct?

Answers

Answer:

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.

Step-by-step explanation:

You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.  

To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.

[tex]\frac{2}{3}[/tex] ÷3

To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.

In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.

In this case:

[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.

A, O and B lie on a straight line segment where
A=24,B=40 C=31
i)AOB=
ii)ZOB=
iii)XOY=
iv)AOY=
v)YOZ=

Answers

Answer:

Step-by-step explanation:

AOB=180°

ZOB =c=31°

XOY=b= 40°

AOY= a+b =24+40  = 64°

YOZ =180-a-b -c=180-24-40-31=85°

Hope this helpsxx

Which of the following is equivalent to the image below

A: 6
B: 8
C: 12
D: 64

Answers

Answer: The answer is 8

Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.

help please i have an f!!

Answers

Answer:

1x=3y

-9x=-2y

Step-by-step explanation:

6x=-4y

17x=-2y

4y

17x=-2y

Tickets to an outdoor concert cost $15 for general admission tickets and $25 for VIP tickets. Ticket sales totaled $4500. Write an equation that models this relationship. Let x = the number of general admission tickets sold Let y = the number of VIP tickets sold

Answers

Answer:  15x + 25y = 4500

Step-by-step explanation:

The cost per general admission tickets is $15  and if x is used to represent the number of general admission tickets then 15 has to be multiplied by  x  and that gives the expression   15x  

The same with the VIP tickets, each one cost $25 and y is used to represent the number of VIP tickets sold, so if you want to find out how much a number of VIP tickets cost then you will have to multiply 25 by y  and that derives the expression  25y.

A combination of both tickets has to equal $4500 because that is amount they were both sold to get in total.

15x + 25y = 4500

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Using the properties of integer exponents, match each expression with its equivalent expression
30 points and Brainly if answer is right

Answers

5-3 = 1/125
-5-3 = -1/125
(-5-3)-1 = -125
(-5-3)0 =1

24 x 16 =
I need help with this please help

Answers

Answer:

=384

Step-by-step explanation:

8h + (-6.7d) - 15+ 4d-2.6h.

Answers

Answer:

5.4h-2.7d-15

Step-by-step explanation:

8h minus 6.7d minus 15 plus 4d minus 2.6h

using the knowledge or principle of algebra

5.4h minus 2.7d minus 15

A student has a container with a volume of 0.5 liter. He estimates the volume to be 0.4 liter. By what percent is the​ student's estimate​ off?

Answers

Answer:

20

Step-by-step explanation:

0.5-0.4=0.1,0.1/0.5×100= 20

The students's estimation is 80%.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that a student has a container with a volume of 0.5 liter.

He estimates the volume to be 0.4 liter.

Now to find the percentage of estimation,

estimated volume = correct volume × required percentage / 100

0.4 = 0.5 × required percentage / 100

Required percentage = 0.4 × 100 / 0.5

Required percentage = 0.4 × 100 / 0.5

Required percentage = 80%

Therefore, the students's estimation is 80%.

To learn more about the percentage;

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8 + (-10) just confused lol

Answers

8+(-10) is like 10-8 except backwards so how i do some problems is like that and then add a negative sign; so say if i were doing 8+(-10), i would do 10-8 which equals 2 and then since 10 is bigger than 8 and it’s a negative number, i would put -2 as my answer

Write a equivalent expression for (4n + 14) + (5 + 8n)

Answers

Answer:

= 12n + 19

Step-by-step explanation:

what is -2k + (-4k) + 5

Answers

if ur solving for k the answer is 6/5

mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee

Answers

Answer:

what do you mean

Step-by-step explanation:

ok...................

Solve for the unknown quantity in each proportion.
k over three equals three over nine
A. 1
B. 3
C. 9
D. 27

Answers

Answer:

D

Step-by-step explanation:

27÷3=9

12x 5 =(4x 2 )(C)12, x, start superscript, 5, end superscript, equals, left parenthesis, 4, x, squared, right parenthesis, left parenthesis, C, right parenthesis C=

Answers

Answer:

3x³

Step-by-step explanation:

Given the expression

12x^5 =(4x^2 )(C)

We are to find the value of C

Rewriting the equation will give;

(4×3)x²•x³ = 4x²C

4x²•3x³ = 4x²C

Divide both sides by 4x²

4x²•3x³/4x² = 4x²C/4x²

3x³= C

Hence the function C is 3x³

What is 2+2


A) 22

B) 4

C) 38

D) 55

Answers

Answer:

B

Step-by-step explanation:

Answer: 4

         ______

           _\ _~-\___

   =  = ==(____AA____D

               \_____\___________________,-~~~~~~~`-.._

               /     o O o o o o O O o o o o o o O o  |\_

               `~-.__        ___..----..                  )

                     `---~~\___________/------------`````

                     =  ===(_________D

Help with the whole thing please and thanks

Answers

1a. closest to 1

b. closest to 0

2a. closest to 1

b. closest to 1/2

Numb 3. Ain't clear.

4. Not sure.

5a. closer to 1

b.closer to 1/2

c. 3/4 - 5/12 = 1/3

6. 26/15

7. 7/18

8. 47/240

9. 191/225

10. 11/60

11. 81/200

6(n-3)-2n=10
solve n

Answers

i got -2. i hope that’s correct

Answer:

n=7

Step-by-step explanation:

6(n-3)-2n=10

Distributive Property

6n-18-2n=10

Combine like terms

4n-18=10

Addition property of equality with -18; add -18 to both sides

4n=28

Division property of equality; divide 4 from both sides

n=7

Sonya made 64 mini cakes for a bake sale at her school. After every 16th cake,
she took a break. How many breaks did she take?

Answers

Answer: 4 breaks

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

64÷16=4 breaks

Hope this helps :>

During swim practice Brand swim six butterfly stroke laps and eight freestyle Laps. What is the ratio of freestyle apps to total laps? A. 6:14 B. 8:6 C. 8:14 D. 14:8

Answers

Answer:

C) 8 : 14

Step-by-step explanation:

From the Question, we have

Six butterfly stroke laps

Eight freestyle Laps.

Total number of laps = (6 + 8)laps

= 14 laps

Hence,

The ratio of freestyle laps to total laps is:

Freestyle laps : Total laps

= 8 : 14

Option C is correct.

What is Y=3x^2+6x+10 in vertex form.

Answers

Answer:

y=3(x+1)^2+7

Step-by-step explanation:

Write the equation of a line with a slope of 3 that passes through (-3,2).

Answers

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

A line passes through the points (-8, 7) and (-11,-11). Find the value of a such 1 point
that the point (-7,a) lies on the line. a=
Your answer

Answers

Answer:

a=12

Step-by-step explanation:

we need the slope of this line. Find it with the slope formula

m= y2-y1 / x2-x1    with the points given p1=(-8,7)  and p2=(-11,-11)

m=-11-7 / -11-(-8)                                               (x1,y1)               (x2,y2)  

m= -18 /-11+8

m= -18 / - 3

m= 6

next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]

y-7=6(x-(-8))  ( simplify this towards the slope intercept form [y=mx+b]

y-6=6(x+8)

y-6=6x+48

y=6x+54

now we can plug in our point of (-7,a) to find what a is

a=6(-7)+54

a=-42+54

a=12

:)

2019 like “I live my life in fast forward, but they haters wanna rewind me”

Answers

Is this a question, or-

Um how is this related to homework?

you just found a postitive trend line showing a strong relationship betweenness homework scores for five students explain what this means?

Answers

Answer:

A positive slope of the trend line comparing homework scores and test scores means that higher homework scores infer a higher test score.

Step-by-step explanation:

PLEASE HELP!!!
According to the graph below, what is the value of the constant in the equation below?

Answers

Sorry, I could have helped but I ain't seeing any diagram

The equation P = 16,250 + 75n can be used to determine the population, P, of a city after n years. Which statements are true? Select ALL that apply. The initial population was 16,250 people. The initial population was 16,250 people. The population after 10 years was 16,325 people. The population after 10 years was 16,325 people. The population increases by 75 people each year. The population increases by 75 people each year. The population increases by 16,250 people each year. The population increases by 16,250 people each year. The population increases by 16,250 people every 75 years. The population increases by 16,250 people every 75 years.

Answers

Answer:

15000+1250x

Step-by-step explanation:

Since the initial population is 15,000, we want to know how many people are going to Jonesville each year.  Assuming that in 2001 and in 2002, each year adds 1,250 people and that it is constant.  The equation is 15000+1250x in which 15,000 represents the initial number and 1250 is the amount of people added each year followed by x which is the number in years.

Pl help it’s for a grade I will give you Brainly if you are right a.0.80 b 1.00 c4.00 d 0.83

Answers

I think it’s c sorry if I’m wrong

Work out angle BXC.
Give a reason for each angle you work out.

Answers

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

The measure of angle BXC is 70°

What s transversal?

"It is a line that passes through two lines in the same plane at two different points."

What are parallel lines?

"These are the lines in the same plane that are at equal distance from each other and never meet."

What are isosceles triangle?

"It is a triangle having any two sides equal in length."

For given example,

We can observe that XY and BD are parallel lines and AB is the transversal.

Here,

∠AXY = ∠XBC                                  ..............(Corresponding angles)

⇒ ∠XBC = 55°

In figure, for ΔXBC the sides XB and XC are equal.

So, ΔXBC is an isosceles triangle.

We know, for isosceles triangle, angles opposite to equal sides are equal in measure.

⇒ ∠XBC = ∠XCB

⇒ ∠XCB = 55°

We know, the sum of all angles of the triangle is 180°.

⇒ ∠XBC + ∠XCB + ∠BXC = 180°

⇒ 55° + 55° + ∠BXC = 180°

⇒ 110° + ∠BXC = 180°

⇒ ∠BXC = 70°

Therefore, the measure of angle BXC is 70°

Learn more about the angles formed by parallel line and transversal here:

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19 = 4x + 3 *
Plz, help me with this!

Answers

Answer:

x=4

Step-by-step explanation:

19 = 4x+3

Subtract 3 from each side

19 -3 =4x+3-3

16 = 4x

Divide each side by 4

16/4 = 4x/4

4 =x

Answer:

x=4

Step-by-step explanation:

19= 4x+3

19-3= 4x

16= 4x

x= 16/4= 4

x= 4

hope it helps! please mark me brainliest

thank you!! have a good day ahead

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