MATHEMATICS MIDDLE SCHOOL

What is the equation of this line of best fit in slope intercept form

Answers

Answer 1

Answer:

Option B:

Equation of the line of best fit in slope-intercept form is $y=(1)/(2)x+1$ .

Solution:

Take two points on the line (0, 1) and (4, 3).

So, $x_1=0, y_1=1, x_2=4, y_2=3$ .

Slope of the line:

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

$$m=(3-1)/(4-0)$

$$m=(2)/(4)$

$$m=(1)/(2)$

y-intercept means the point which crosses at y-axis.

Here the point on the y-axis is (0, 1).

y-intercept (b) = 1

Slope-intercept form:

y = mx + b

$$y=(1)/(2)x+1$

Equation of the line of best fit in slope-intercept form is $y=(1)/(2)x+1$ .

Option B is the correct answer.

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There are 15 violinists in the orchestra this year. Next year, two violinists will leave and some new violinists will join the orchestra. If v is the number of violinists who will join the orchestra, which expression(s) represent the number of violinists in the orchestra next year.A 15−2+v15 minus 2 plus v

B 15−v15 minus v

C v−2v minus 2

D 13+v13 plus v

E v−15v minus 15

F v+13

Answers

Answer:

A and D

Step-by-step explanation:

There are already 15. Take away 2 in the next year and also add some (v) in the same year.

13 + v is the simplified version of the original expression (15 - 2 + v)

I hope this helps

Answer:

13+v=x

Step-by-step explanation:

Hope this helps

What is the slope between the points (3, 5) and (-2, -4)?A) 9/5
B) 1
C) 5/9
D) -5/9

Answers

The slope is 9/5
The formula is y-y1/x-x1

Using the slope formula I have found that the slope is m= 9/5 which is option A.

Which is the solution to the inequality 1/4+x<5/8

Answers

Answer:

x<3/8

Step-by-step explanation:

1/4+x<5/8

x<5/8-1/4

x<5/8-2/8

x<3/8

The equation y = 55x + 85 describes the amount of money a plumber charges, where y is the total amount he charges and x is the number of hours he works. The table shows the total amount of money an electrician charges.How much does each charge per hour?

Number of hours worked 1 2 4 7
Total amount charged 115 180 310 505

the plummer charges $___ per hour
the electrician charges $___ per hour

Answers

If you would like to know how much does each charge per hour, you can calculate this using the following steps:

x ... the number of hours
a plumber: y = 55x + 85 = 55 * 1 + 85 = 55 + 85 = $140 per hour
an electrician: y = $115 per hour

The correct result would be: the plumber charges $140 per hour and the electrician charges $115 per hour.

What is the opposite of 4.25

Answers

It is -4.25.

Your welcome!

✡ Answer: -4.25✡

- - The opposite of POSITIVE 4.25 is NEGATIVE 4.25

✡Hope this helps✡

Find the equation of the line that goes through the points (4, –1) and (2, –5).Use slope formula,m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction,to find the slope of a line that passes through the points.

Answers

Answer:

y = 2 x - 9

Step-by-step explanation:

slope = difference of y / difference of x

m = (-5 - (-1)) / (2 - 4) = -4 / -2 = 2

pass point (4 , -1)

y = mx + b b: y intercept

b = y - mx = -1 - 2 x 4 = -9

equation: y = 2 x - 9