Inverse property <br> Commutative property<br> Associative Property<br> Identity Property

cluponka [151]

Step-by-step explanation:

the second line has to be parallel (but not identical), so that the 2 lines do not cross each other, do not have any point in common.

that means it must have the same slope but a different y-intercept.

the line in the graph goes through the origin (0, 0), which makes the y-intercept = 0 (the y value when x = 0).

and we see that the points with integer coordinates seem to be e.g. (3, -2).

so, for the slope (y difference / x difference between 2 points) we use this point and the origin.

x changes by +3 (from 0 to 3).

y changes by -2 (from 0 to -2).

so, the slope is -2/3. and it is always the factor of x.

let's look at the answer options :

2x + 3y = 0

3y = -2x

y = (-2/3)x

this is the identical line, so it is wrong !

2x + 3y = 6

3y = -2x + 6

y = (-2/3)x + 2

the same slope and different y-intercept.

this is the correct solution !

2x - 3y = 9

-3y = -2x + 9

y = (2/3)x - 3

wrong slope. so it is wrong !

y = 3x + 2

wrong slope. so it is wrong !

5 0

2 years ago

On Friday, a fruit stand sold a total of 92 apples and oranges. On Saturday, the fruit stand sold four times the number of apple

andreev551 [17]

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Step-by-step explanation:

Let o be the number of oranges sold on Friday and

a be the number of apples sold on Friday

So,

A total of 92 was sold on Friday will yield the equation

$a+o = 92$

On Saturday,

4 times the number of apples = 4a

2 times the number of oranges = 2o

So,

$4a+2o = 284$

Hence,

The system of equations is:

$a+o = 92\\4a+2o = 284$

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

I WANT TO KNOW<br> WHAT IS THE MULTIPLE OF 6

Leni [432]

6, 12, 18, 24, 30
Keep plus this number by 6

5 0

2 years ago

Read 2 more answers

A rectangle has an area of 18cm^2. The lengths of the sides are whole numbers. How long can each of the sides be? Give all the e

babymother [125]

Answer:

Area of rectangle = l x b

18 = l x b

Factors of 18 =

1 x 18 = 18

2 x 9 = 18

3 x 6 = 18

So each of the sides can be either 1cm and 18 cm, 2cm and 9cm and 3cm and 6cm.

6 0

2 years ago

Find the x and y intercepts of -7xt6y=5

iren2701 [21]

-7x + 6y =5
x intercept. y=0
-7(x) + 6(0)=5
x=-5/7

y intercept, x=0
-7(0)+6(y) =5
y=5/6

3 0

2 years ago

Inverse property Commutative property Associative Property Identity Property