All categories

3 years ago

An equation that passes through (0, -2/3) and (-3, -2/3)

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:

y = 0x - 2/3

Step-by-step explanation:

We are asked to find the equation of the line

Step1: find the slope

( 0 , -2/3) ( 3 , -2/3)

m = (y_2 - y_1 )/ (x_2 - x_1)

x_1 = 0

y_1 = -2/3

x_2 = 3

y_2 = -2/3

Insert the values into the equation

m =( -2/3 - (-2/3) / (3 - 0)

= -2/3 + 2/3 / 3

= 0 / 3

m = 0

Step 2: sub m into the equation

y = mx + c

y = 0x + c

Step 3: sub any of the two points given into the eqn

y = 0x + c

Let's pick ( 3 , -2/3)

x = 3

y = -2/3

-2/3 = 0(3) + c

-2/3 = 0 + c

c = -2/3

Step4: sub c into the equation

y = mx + c

y = 0x + c

y = 0x - 2/3

Therefore, the equation of the line is

y = 0x - 2/3

You might be interested in

Solve -2 1/3- (-5) =

kirill [66]

Answer:

8/3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Carpet costs $12 per square yard. How much will it cost to carpet a room that is 180 square feet? CLEAR CHECK $19,440 $720 $2,16

Alika [10]

Answer:

Step-by-step explanation:

$12 per square feet

180 square feet

180 x 12=2160.

4 0

4 years ago

Write a complete two-column proof for following information:

Fantom [35]

<span>Given:

AB = x + 16

BC = 4x + 11

AC= 77

We can safely assume that,

AB + BC = AC

x + 16 + 4x + 11 = 77

5x + 27 = 77

5x = 77 - 27

5x = 50

x = </span> $\frac{50}{5}$

x = 10

Hence,

AB = x + 16 = 10 + 16 = 26

Hence, proved.

8 0

4 years ago

Read 2 more answers

5|q+6|=20 how u do this

Juli2301 [7.4K]

Divide 20 by 5= 4
subtract 6= -2
q= -2

6 0

3 years ago

If the lesser of the two consecutive even integers is five more than half the greater, what are the two integers?

Marina CMI [18]

The integers are 12, 14.

Solution:

Let the even consecutive integers be x and x + 2.

Lesser number = x and Greater number = x + 2

Lesser number = Half of greater number + 5

$$\Rightarrow x = \frac{1}{2} (x + 2) + 5$

$$\Rightarrow x = \frac{x + 2}{2} + 5$

To add the numbers, denominators must be same. So multiply 5 by $\frac{2}{2}$ .

$$\Rightarrow x = \frac{x + 2}{2} + \frac{10}{2}$

$$\Rightarrow x = \frac{x + 12}{2}$

Multiply by 2 on both sides, we get

⇒ 2x = x + 12

Subtract x from both sides.

⇒ x = 12

Lesser number = 12

Greater number = 12 + 2 = 14

Hence the integers are 12, 14.

7 0

3 years ago