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3 years ago

What is the equation in point−slope form of the line passing through (1, 2) and (2, 5)?

Mathematics

1 answer:

Gwar [14]3 years ago

3 0

Answer:

Step-by-step explanation:

First, find the slope by using change in y divided by change in x.

Change in y = 5 - 2 = 3

Change in x = 2 - 1 = 1

This means that the slope is 3/1 = 3.

Then, you put it in the point-slope form so:

(y - 2) = 3(x - 1)

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Given the triangle below, which of the following is a correct statement?

Nata [24]

Can you send a picture of the triangle. Maybe take a screen shot?

4 0

3 years ago

Write the equation 8y = 1/12 x – 0.8 in standard form. Identify A, B, and C.

PolarNik [594]

Answer:

The equation is 10x - 960y = 96

A = 10 , B = -960 , C = 96

Step-by-step explanation:

* Lets explain the standard form of the linear equation

- The standard form of the linear equation is :

AX + BY = C , where A , B , C are constant

- A is a positive integer, and B, and C are integers

- The slope of the line is -A/B

- The y-intercept is C/A

- Lets solve the problem

∵ The equation of the line is 8y = 1/12 x - 0.8

- At first multiply the equation by 12 to make the coefficient of x integer

∴ (8 × 12) y = (1/12 × 12) x - (0.8 × 12)

∴ 96y = x - 9.6

- Multiply the two sides of the equation by 10 to make 9.6 integer

∴ (96 × 10) y = (1 × 10) x - (9.6 × 10)

∴ 960y = 10x - 96

- Add the two sides by 96

∴ 960y + 96 = 10x

- Subtract 960y from both sides

∴ 96 = 10x - 960y

∴ The standard form of the equation is 10x - 960y = 96, where

A = 10 , B = -960 , C = 96

3 0

3 years ago

Blake and Ned work for home remodeling business they are putting the final touches on a home they renovated. working alone Blake

stiks02 [169]

Answer:

3.6 hours

Step-by-step explanation:

Blake can do work in hours = 9

Blake can do a part of work in 1 hour = $\frac{1}{9}$

Ned can paint the same room in six hours.

Ned can do a part of work in 1 hour = $\frac{1}{6}$

They can do a part of work together in 1 hour = $\frac{1}{9}+\frac{1}{6}$

= $\frac{5}{18}$

Now they can do $\frac{5}{18}$ part of work in hour = 1

So, they can do whole work in hours = $\frac{1}{\frac{5}{18}}$

= $3.6$

Hence it will take 3.6 hours to paint the room if they work together.

6 0

2 years ago

Write the slope-intercept form of the equation of the line described.

Romashka [77]

Answer:

<h3>(4-4 = 0) - (4x5 =20) xDDddd</h3>

6 0

3 years ago

Read 2 more answers

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP<br> #45 and 46

fgiga [73]

46.
3x + y = 2x +y
X+y=y
X= 0
3x + y + 2x +y = 4x+10
2y+x= 10
Y=5

6 0

3 years ago