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2 years ago

How do I write an equation of a line that is parallel to 2x-3y=15

1 answer:

lina2011 [118]2 years ago

4 0

The line given is -2x + 3y = 15, so we must rearrange:

=> 3y = 2x + 15
=> y = 2/3 x + 5

These two equations are EQUIVALENT, but one is in slope intercept form, the other isn't.

So in this case, gradient is 2/3 (or 2 units up, and 3 units across).

And we know that parallel lines have the same gradient. Hence, the general equation for lines parallel to it will be:

y = 2/3 x + n

where n can be any number (positive/negative, decimal/fraction/integer) except 5, which is original line.

For example, y = 2/3 x + 2

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The first row of seats in Section G of a baseball stadium has 5 seats . There is a total of 20 rows of seats in the section . If

RoseWind [281]

Answer:

140

Step-by-step explanation:

8 0

3 years ago

6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a

vitfil [10]

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

8 0

3 years ago

Which of the following points is not collinear with (3, 6) and (-2, -9)?

Lilit [14]

Its B, cause it’s collinear

5 0

3 years ago

Read 2 more answers

Sam's age is 125% of mary's age. mary's age is p% of sam's age. what is the value of p?

ddd [48]

Let Sam be (S+8) years while his sister is S years.

S(S+8) = 105

S^2+8S-105 = 0

(S+15)(S-7) = 0

Sam’s sister is 7 years and Sam is 15 years old.

7 0

2 years ago

Jenna made 10 cookies on blah buster day. She ate one of them her brother 0.2o f the cookies her little sister ate 1/5 of them h

prisoha [69]

Answer:

Jenna has 6 and 4/5 cookies left.

Step-by-step explanation:

Jenna starts with 10 cookies. She eats 1, her brother eats 2, and her little sister eats 1/5. If you add up all the cookies they ate. that would be 3 1/5 cookies they ate. So, 6 and 4/5 cookies are left.

ps. give me brainliest pls

6 0

3 years ago