MATHEMATICS MIDDLE SCHOOL

Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

Answers

Answer 1

Answer:

Answer:

$y=x+3$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

step 1

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to

$m=(y2-y1)/(x2-x1)$

substitute

$m=(50-40)/(47-37)$

$m=(10)/(10)=1$

step 2

Find the y-intercept

we have

$m=1\npoint\ (37,40)$

substitute in the linear equation

$40=(1)(37)+b$

solve for b

$b=3$

therefore

The linear equation is

$y=x+3$

Related Questions

Suppose y varies directly with x. If y = -2 when x = 1, what is the value of x when y = 4?
Find the measure of the third angle of a triangle if the measures of the other two angles are given.109.7 and 47.1
What is the discount of 97.99 83.30
A) write a relation for perimeter of a square with side length n centimetres
marcia has one cup of tea each day for 7 days. She puts 2/3 tablespoons of honey in each cupof tea. write an equation that represents 7 x 2/3 as a multiple of a unit fraction

A scale for a scale drawing is 10cm:1mm. which is larger the actual object or drawing explain

Answers

If I'm understanding your question, the drawing is 10cm and for every 10cm, the drawing is etched 1mm. This means that no matter how big the drawing gets, the actual object will always be bigger since it's 10cm larger always than the drawing. Hope this helped!

Mr. Robinson has 20 students in his martial arts class. The ratio of boys to girls is 4:1. How many boys and girls are in Mr. Robinson's class?a. 15 boys, 5 girls
b. 5 boys, 15 girls
c. 16 boys, 4 girls
d. 4 boys, 16 girls

Which of the following equations is an example of the distributive property?
a. (5)(3) = (3)(5)
b. 5+3 = 3+5
c. (5)(1+2) = (5)(1) + (5)(2)
d. 15=15

Answers

1) Ratio - 4:1

thus, 4x + 1x = 20
5x = 20

thus, x = 20/5 = 4

thus, x = 4
and, 4x = 16

Thus, the answer is (C) 16 boys and 4 girls

2) According to distributivity, a(b+c) = ab + ac

Thus, the answer is (C)

1.4x+x=20
5x=20
x=4 there are 16 girls and 4 boys

2.c

Please help!!!Which of the following lines is parallel to x=8?

3y=16

X=7

X=y

Y=8

Select the equation of the line that passes through the points (5,7) and is perpendicular to the line x=4.

Y=4

X=5

Y=7

X=7

Answers

The answer to question #1 is x = 7

For a line to be parallel to x = 8, it has to start with x = some number. Such a line would have an undefined slope.

Now, x = y is a line that goes through the origin. It has a slope of 1.

The answer to question #2 is y = 7

If a line is perpendicular to x = some number, then it has to be y = some number.

And this perpendicular line has to go through the point (4,7). So what is the y-value of this point, since the equation starts with y? The y-value is 7. So the equation has to be y = 7

How do I write a word problem for 1.75 ÷ .5

Answers

A teacher had earned $1.75 for her/his class. Half of the class wanted the money. How much money would each student from half the class get, equally?

$1.75:0.5= (1.75\cdot2)/(0.5\cdot2) = (3.5)/(1) =3.5$

What is the value of the digit 9 in the number that show kari's mass

Answers

where is the question of this problem

Final answer:

The value of the number 9 representing Kari's mass depends on the digits' place in the number. If it's in the 'tens' place (as in 95), its value is 90; if it's in the 'ones' place (as in 19), its value is 9.

Explanation:

To determine the value of the number that represents Kari's mass, please provide the full number. The exact value of 9 in this number will depend on its placement. For instance, if Kari's mass is 95 kilograms, the value of 9 is 90 because it occupies the 'tens' place. However, if her mass would be 19 kilograms, the value of 9 would be 9 because it is in the 'ones' place. To know the value of digit, understanding the positions of numbers in place value is important.

Learn more about Place Value here:

brainly.com/question/27734142

#SPJ2

Sammy drinks 1/3 of the milk carton, Tikki drinks 5/12 of the milk carton, and Georgia drinks 1/6 of the milk carton. What fraction of the carton of milk is left over?

Answers

1/3 of the milk carton+ 5/12 of the milk carton+ 1/6 of the milk carton
= (4+5+2)/12 of the milk carton (common denominator).
= 11/12 of the milk carton.

Sammy, Tikki, and Georgia totally drink 11/12 of the milk carton.

1 milk carton- 11/12 of the milk carton
= 12/12 of the milk carton- 11/12 of the milk carton
= 1/12 of the milk carton.

There is 1/12 of the milk carton left over, so the final answer is 1/12 of the milk carton.

Hope this helps~

First we need to make all the fractions have the same denominator so our denominator is going to be 12 so 1/3=4/12
5/12 we are going to leave it untouched because it already has a denominator of 12 and 1/6=2/12 so
4/12+5/12+2/12=11/12
Now you are going to subtract 12/12-11/12 because 12/12 represents a whole so 12/12-11/12=1/12 so you have 1/12 of the milk left

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