If 3y+5=7x, then 21y-49x=?

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).

arsen [322]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 4) and (0, 2)

$=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2$

Therefore, the slope of the line is -2. Plug this into $y=mx+b$ :

$y=-2x+b$

2) Determine the y-intercept

$y=-2x+b$

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

$y=-2x+2$

I hope this helps!

6 0

3 years ago

A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are

Shalnov [3]

A histogram with frequency on the x-axis and ages on the y-axis is shown below. Then the correct option is A.

<h3>What is a histogram?</h3>

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A large construction company wants to review the ages of its sales representatives.

A sampling of the ages of 25 sales reps are given:

50, 42, 32, 35, 41, 44, 24, 46, 31, 47, 36, 32, 30, 44, 22, 47, 31, 56, 28, 37, 49, 28, 42, 38, 45.

Then the histogram with frequency table is given as

Range Frequency

20 to 24 2

25 to 29 2

30 to 34 5

35 to 39 4

40 to 44 5

45 to 49 5

50 to 54 1

55 to 59 1

Then the correct option is A.

The histogram is given below.

More about the histogram link is given below.

brainly.com/question/16819077

#SPJ1

6 0

2 years ago

How do you do this ??

svet-max [94.6K]

The purpose of the grid is to help you record possible and impossible combinations. The repeat of the headings 1st, 2nd, 3rd, 4th helps you compare to both shirt color and name.

Each given statement has certain implications. You are expected to be able to determine as many of those as you can, and mark the grid accordingly.

The first statement says two girls slide down before two other girls. This means the first two girls listed cannot be 3rd or 4th in line, and the last two girls listed cannot be 1st or 2nd in line. It also means that none of the named girls is wearing the blue shirt (so Madeline must be wearing it). These implications are marked in the attachment with X and a circled 1, to indicate to you that the first statement was where we got the X. The X is used to signify an impossible combination.

The second statement tells you the purple shirt will not be 3rd or 4th in line, since at least two girls are after it. It tells you that Alexis is not wearing purple or yellow (so must be wearing white), and it tells you that Alexis and the yellow shirt are not first in line. (We alread knew that about Alexis.)

The third statement lets you finish the problem. We just found that Alexis is wearing the white shirt, so it tells you Madeline is 2nd in line and Alexis is 3rd. (Alexis is 3rd or 4th, but so is Lauren. The only way Madeline can be next to Alexis is for Madeline to be 2nd and Alexis 3rd.) The check marks labeled with a circled 3 are the conclusions we drew from statement 3.

Since the yellow shirt is not first, Lauren must be wearing it 4th in line.

The final conclusion is ...

Hanna, purple
Madeline, blue
Alexis, white
Lauren, yellow

Once you have identified a combination, it can help to mark off the others in that row and column (of the group of 4 rows and columns) as being impossible. This can narrow the choices for the others. I didn't do that here because it makes the diagram busier and the sequence of marks less clear.

_____

It is a good idea to check your final answer with the original problem statements to make sure the answer is consistent with them.