All categories

3 years ago

What is the equation of this line in standard form?

Mathematics

1 answer:

horsena [70]3 years ago

5 0

Option B 6x-7y = -11 is correct

Step-by-step explanation:

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (3,1)

The equation used is:

$y-y_{1}=m(x-x_{1})$

where m is the slope.

Finding slope :

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

x₁= 1/2, y₁=2, x₂=-3, y₂=-1

Putting values:

$m=\frac{-1-2}{-3-1/2} \\m=\frac{6}{7}$

Now taking point (1/2,2) and s;ope m = 6/7 finding equation:

$y-y_{1}=m(x-x_{1})$

$y-2=\frac{6}{7}(x-\frac{1}{2})\\ 7(y-2)=6(x-\frac{1}{2})\\7y-14=6x-3\\7y-6x=-3+14\\7y-6x= 11\\Multiply \,\,with\,\, -1\\-7y+6x=-11\\6x-7y=-11$

So, Option B 6x-7y=-11 is correct

Keywords: Standard form of equation

Learn more about Standard form of equation at:

#learnwithBrainly

You might be interested in

PLEASE HELPP PLEASEEE!!!!!!

Ket [755]

That is to difficult for my my g

6 0

2 years ago

✓17 is a number between what?

miv72 [106K]

Answer:

4.1 and 4.2

Step-by-step explanation:

or 4 and 5

8 0

2 years ago

leonardo recorded his speed while skateboarding and determined he was traveling 18 feet per second. how many feet could he trave

Effectus [21]

All you need to do is multiply 18*60 = 1080 feet per minute, which is really fast.

7 0

2 years ago

The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.

erma4kov [3.2K]

Answer:

CSA of the cylinder = 440 sq. cm

Volume of the cylinder = 1540 cu. cm

$\\$

Step-by-step explanation:

Given:

Radius of the cylinder = 7 cm
Height of the cylinder = 10 cm

$\\$

To Find:

Curved surface area
Volume

$\\$

Solution:

$\\$

Using formula:

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA \: of \: cylinder = 2\pi rh}}}}}} \: \star \\ \\$

Substituting the required values: 

$\\$

$\dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times \dfrac{22}{7} \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times 22 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 44 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 440 \: {cm}^{2} \\ \\ \\$

Now,

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}= \pi {r}^{2} h}}}}}} \: \star \\ \\ \\$

Substituting the required values, 

$\\$

$\dashrightarrow \: \: \sf Volume {(cylinder)}= \dfrac{22}{7} \times {(7)}^{2} \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= \frac{22}{7} \times 49 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 22 \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 1540 {cm}^{3} \\ \\ \\$

Hence,

CSA of the cylinder = 440 sq. cm

Volume of the cylinder = 1540 cu. cm

8 0

2 years ago

Read 2 more answers

The perimeter of a rectangle is 222 millimeters.If the length is 60 millimeters,what is the width of the rectangle?

andrezito [222]

Half of perimeter (or length+ width) is:
222 mm /2= 111 mm.

111 mm- 60 mm= 51 mm

The width of the rectangle is 51 mm~

4 0

3 years ago

Read 2 more answers