1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anuta_ua [19.1K]
3 years ago
13

A line includes the points (7, -2) and (0, -1). What is its equation in slope-intercept form?​

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
5 0
<h3>Answer:</h3>

y = -1/7x - 1

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the slope-intercept form with the information that is given.

Slope intercept form is represented as y = mx + b

In this case, we know that the points are at:

  • (7,-2)
  • (0,-1)

With the information above, we can solve the problem.

In order to find the slope, we would use the slope equation.

Slope equation:

m=\frac{y2-y1}{x2-x1}

To use this slope equation, we would need to plug in the points from the coordinates into the equation. Your equation should look like this:

m=\frac{-1--2}{0-7}

Now, you solve to find the slope of the line.

m=\frac{-1--2}{0-7} =\frac{1}{-7} =-\frac{1}{7}

When you're done solving, you should get -1/7.

This means that the slope of the line is -1/7. We would plug 9 in our "m" variable.

Your slope intercept form should look like this:

y = -1/7x + b

For our "b" variable, it's going to be the beginning point. When we look at our (0,-1) coordinate, we would know that -1 would be our beginning point, sicne thje 0 is on the x and there's a variable for the y.

Your slope intercept form should look like this:

y = -1/7x - 1

This means that the slope intercept form of the line is y = -1/7x - 1

<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
r-ruslan [8.4K]3 years ago
4 0

Answer:

The equation is y=(-1/7)x+-1 or y=(-1/7)x-1.

Step-by-step explanation:

slope-intercept for is y=mx+b where m is the slope and b is the y-intercept.

You are given (7,-2) and (0,-1).

Line them up and subtract vertically then put 2nd difference over 1st difference:

( 7, -2)

-(0 , -1)

-----------

7      -1

So the slope is -1/7.

Now we know our equation is in the form

y=(-1/7)x+b.

Use one of the points you are given along with y=(-1/7)x+b to find b.

I'm choosing (0,-1) to plug in for (x,y):

-1=(-1/7)(0)+b

-1=0+b

-1=b

So the equation is y=(-1/7)x+-1 or y=(-1/7)x-1.

You might be interested in
Someone please help me
Setler79 [48]
So find the area of each shape and add them.
30+30+30+30+36=156
Triangle A= 1/2xLxH
Square A= LxH
6 0
3 years ago
Determine the ratio of shaded sections to striped sections. Then explain its meaning.
LenaWriter [7]

Answer:

Determine the ratio of shaded sections to the total number of sections. Write the ratio as a fraction in simplest form and as a decimal.

7 0
2 years ago
Read 2 more answers
Next door to me lives a man with his son. They both work in the same factory. I watch them going to work through my window. The
kirza4 [7]

9514 1404 393

Answer:

  k = 5

Step-by-step explanation:

Suppose the distance to the factory is 1 unit. Then the speed the father walks is ...

  speed = distance/time = 1 / 30 . . . . units per minute

When the father leaves 10 minutes earlier than the son, his position t minutes after the son starts walking is ...

  d = 1/30(t +10)

Similarly, when the father starts 5 minutes earlier than the son, his position t minutes after the son starts walking is ...

  d = (1/30)(t +5)

We want that to be the same as the distance the son covers t minutes after he starts walking. The son's progress is ...

  d = 1/20t

To find the value of k such that the distance covered is the same 2k minutes after the son starts, we will use t=2k and d=d, so ...

  (1/30)(2k +5) = (1/20)(2k)

  4k +10 = 6k . . . . . multiply by 60

  10 = 2k . . . . . . . . . subtract 4k

  5 = k . . . . . . . . . . . divide by 2

__

The attached graph shows the different scenarios, where the blue line is the son's progress. When the father starts 5 minutes earlier, the son meets him half-way to the factory after 10 minutes, so k = 10/2 = 5.

5 0
2 years ago
How could you describe this graph?
Musya8 [376]

It is definitely skewed left if thats what you need

6 0
3 years ago
Read 2 more answers
The standard deviat<br>ion of the number 6,0,4,3and2is​
mylen [45]

Answer:

The standard deviation of the numbers is 2.24

Hope this helps.

5 0
3 years ago
Other questions:
  • It would be great if u can help tyy!!
    11·1 answer
  • Helppppp!?..............
    13·1 answer
  • If x=12 What is the value of the expression2(x)+3
    15·1 answer
  • Which among the following is the largest known number in the world?
    14·1 answer
  • Isla was researching kiwi birds. She categorized each bird she observed by species and gender. The two-way frequency table below
    5·2 answers
  • How many sucrose molecules are in 3.0 moles of sucrose
    5·1 answer
  • Marlon and Clint went to the movies.if they each bought cookies for 9.25 and a soda for. 6.55 what was their total bill after ad
    13·2 answers
  • PLZZZZZ HELP ME Find the sum
    5·1 answer
  • 7.0g divided by 5.6g/cm cubed​
    8·1 answer
  • HELP ME POR FAVOR pleaseeee
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!