MATHEMATICS MIDDLE SCHOOL

A line contains (4,2) and (0,1) what is the equation of the line

Answers

Answer 1
Answer: First we need to find the slope of the line.

Slope = (y_2-y_1)/(x_2-x_1) = (2 - 1)/(4-0) = (1)/(4)

Our equation of the line will be in the form of y = mx + b, where m is the slope and b is the y-intercept.

We have found the slope. All we need to find is the y-intercept. Luckily, they gave us the y-intercept!

The y-intercept can be found when x = 0. And one point they gave us is (0,1). That means the y-intercept is 1.

The equation of the line is 

y = (1)/(4)x + 1
Answer 2
Answer: When you need the equation of a line, you need to find the slope (m) and the y-intercept (b). the slope is fairly easy to find, we simply find the second y- the first y divided by the difference of the second x and the first x. this will look like
(1-2)/(0-4)= 1/4. that is our slope. next we need to find the y-intercept, that is when x=0. for this problem we are actually given it with the second point (0,1) that means our y-intercept is 1. now we have the everything we need for the equation y=mx+b. we know that m=1/4 and b=1, so we can plug that in and get y=1/4x+1

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Simplify the expression (x^25)^-6/(x^-3)^48The power of x in the simplified expression is
-2
-6
-23
-26

Answers

Answer:

-6

Step-by-step explanation:

Use\n\n(a^n)^m=a^(nm)\n\n(a^n)/(a^m)=a^(n-m)\n------------------\n\n((x^(25))^(-6))/((x^(-3))^(48))=(x^((25)(-6)))/(x^((-3)(48)))=(x^(-150))/(x^(-144))=x^(-150-(-144))=x^(-150+144)=x^(-6)

Yoshi and Rana serve muffins. There are 3 muffins with nuts. 1/6 of the muffins have nuts. How many muffins do they serve in all?

Answers

1/6 of the muffins is 3 muffins with nuts. So you multiply 3 by 6 to get 18 muffins in all.
It's would probably be 3 1/6

How do I transform the equations 5x+4y=8 and -2x+5y=30 so that they are in the form that y=MX+b?

Answers

4y=5x+8 5y=-2x+30 the y always goes first. then the equal sign. next is x and finally just the digit which is also known as "b".
Make y the subject for both equations: 

5x + 4y = 8
4y = -5x + 8 
y = -(4/5)x + 8

-2x + 5y = 30
5y = 2x + 30
y = (2/5)x + 6

There you go, both equations are in y = mx + b for :) 

How many rotatuons are there in 1008 degrees (round to the nearest tenth)​

Answers

Answer:

2.8

Step-by-step explanation:

Note that 1 rotation = 360°

Divide 1008 by 360 to find number of rotations

rotations = (1008)/(360) = 2.8

What is 19074832 divided by 2 equal

Answers

19074832 divided by two equals 9537416

HOPE THIS HELPED PLEAE PLEASE GIVE ME BRAINLIEST

Simplify.


14.2 x (-6) ÷ 15 x (-4) ÷ 0.4

Answers

The answer is 56.8 I calculated and that is what I got.
14,2 * (-6) : 15*(-4) : 0,4 =

In operation for multiplication and division two negative numbers abolish minus . The result will be positive.
Multiplication and division are performed in sequential order from left to right

- 85,2 : 15* (-4) : 0,4 = 

- 5,68 * (-4) : 0,4 =

22,72 : 0,4 = 56,8
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