# Determine the standard form of the equation of the line that passes through (-2,0) and (8,-5)

x + 2y = - 2

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (8, - 5)

m = = = -

y = - + c ← partial equation of line

To find c substitute either of the 2 points into the partial equation

Using (- 2, 0), then

0 = 1 + c ⇒ c = - 1

y = - x - 1 ← in slope- intercept form

Multiply through by 2

2y = - x - 2 ( add x to both sides )

x + 2y = - 2 ← in standard form

## Related Questions

Jonathan spends 5 hours doing homework and gets three hours of video games and Lucas gets to play video games for 30 minutes every hour he does homework. If both boys spend the same amount of time doing homework which boy gets to play video games more

Johnathan he gets 3 hours while Lucas only get 2.5 hours

Step-by-step explanation:

The answer is Johnathan only gets 3 hours while Lucas only gets 2.5 hours of video games.

A scale has a percent error of 5%. The actual mass of a rock is 258 g. Select from the drop-down menus to correctly complete the statement.

The scale is likely to show the mass is either [Choose...] g or [Choose...] g.

The scale is likely to show the mass is either 270.9g or 245.1g

Step-by-step explanation:

Actual mass = 258g

Percent error = 5% = ±0.05

Mass shown by scale = Actual mass*percent error

Therefore,

Mass shown by scale = 258+12.9 , Mass shown by scale = 258-12.9

Mass shown by scale = 270.9g , Mass shown by scale = 245.1g

The scale is likely to show the mass is either 270.9g or 245.1g

Keywords: error, percentage

• brainly.com/question/11286417
• brainly.com/question/11566221

#LearnwithBrainly

A scale has a percent error of 5%. The actual mass of a rock is 258 g.

Select from the drop-down menus to correctly complete the statement.

The scale is likely to show the mass is either

245.1

g or

270.9

g.

Step-by-step explanation:

I copied an pasted from k-12

Explain how to model the multiplication of –6 and 3 on a number line. Quickly, please!!! middle of a test

You need to show -6, 3 times, starting at the point 0

FREE POINTS!!! ALSO FIRST CORRECT ANSWER GETS BRAINLIEST Tonya has a small picture with a length of 4 4/5 inches. She wants to enlarge the picture by a factor of 7 and frame it. Which of the following is true?

So we would do 7x4.8 which is 33.6 or if you round up 34

Step-by-step explanation:

A mother who is 40 years old has a daughter and a son. The son is twice as old as the daugther. In 15 years the sum of all their ages will be 100 years. How old are the siblings now?

son = 10

daughter  = 5

Step-by-step explanation:

Let the daughter = d

Let the son =          s

s = 2*d

there ages in 15 years

Mother = 40 + 15 = 55

Son = s + 15

daughter = d + 15

Total: s + 15 + d+15 + 55 = 100    Combine the like terms.

s + d + 85 = 100                            Subtract 85 from both sides.

s + d = 100 - 85

s + d = 15

s = 2*d                                            Substitute for son

2d + d = 15

3d = 15

d = 15/3

d = 5

son = 2*5

son = 10

Check

son = 15 =           25

daughter + 15 =  20

Mother + 15    =   55

Total                   100 just as it should be.

Step-by-step explanation:

Let's call the ages D for daughter and S for son.

We know that the son is twice as old as the daughter, so:

S = 2D

We also know that in 15 years, their ages add up to 100, so:

(40+15) + (S+15) + (D+15) = 100

55 + S + 15 + D + 15 = 100

85 + S + D = 100

S + D = 15

Substituting the first equation:

2D + D = 15

3D = 15

D = 5

Therefore:

S = 2D = 10

The son is 10 and the daughter is 5.

An object with a mass of 3.0 g raises the level of water in a graduated cylinder from 25.1 mL to 33.1 mL. What is the density of the object?

The displaced volume of the water, because of the submersion of the object, is equal to the volume of the object.

So to find the volume of the object we calculate the difference in volume of water:
33.1-25.1 = 8 ml

Since 1 mL of water has the volume of  1cm^3, then the volume of the object is 8 cm^3.

The density of the object is found by the formula:

density= mass/volume= (3 g) / (8 cm^3) = 3/8 (g/cm^3)= 0.375 g/cm^3

A bag contains 20 red tickets and 12 blue tickets. what is the probability of randomly selecting a blue ticket from the bag?

There is a 6/21(29%) chance of selecting a blue ticket

If 5 friends go out for lunch and they order 4 pizzas, and they split them evenly how much does each friend get in decimal form

If 4 pizzas equal 60 slices of pizza you divide 60 by 5 and you get 12

8*(((7+4)*2)-((11-7)*4))

The answer is 48!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! so ez

Here is how you solve this:

8 * (((7 + 4) * 2) - ((11 - 7) * 4)) =
8 * ((11 * 2) - (4 * 4)) =
8 * (22 - 16) =
8 * 6 =
48

I hope that helps you :-)