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2 years ago

What is the equation of a line in slope intercept form that contains the points (-4,3) and (2,-6)

Mathematics

1 answer:

Nataly_w [17]2 years ago

7 0

Answer:

y = (-3/2)x - 3

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Given two points, we can calculate the slope by dividing the change in y (or the difference in the y-coordinates) by the change in x (or the difference in the x-coordinates). Our two points are (-4, 3) and (2, -6):

m = (3 - (-6)) / (-4 - 2) = 9 / (-6) = -3/2

So, we can update our equation:

y = (-3/2)x + b

The y-intercept is where the graph crosses the y-axis, or the y-value where x = 0. Let's plug in 3 for y and -4 for x:

3 = (-3/2) * (-4) + b

3 = 6 + b

b = -3

So, our y-intercept is -3.

Our slope-intercept form is thus:

y = (-3/2)x - 3

~ an aesthetics lover

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What did the electrician say to his daughter when she came home at 2am

yaroslaw [1]

Answer:

Check Below!!

Step-by-step explanation:

This is basically a cool joke.

When we are talking about electricians, we think about

wires, ohms, resistors, insulator, conductor etc.

Since electrician will say something to her daughter who came home LATE AT NIGHT (2am), the joke needs to go hand-in-hand.

Thus, the electrician said:

"Why are you insulate?"

which would mean, why are you in so late?

HAHA, Good Laugh!

Thanks

4 0

2 years ago

tankabanditka [31]

Answer:

If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)

Step-by-step explanation:

Step 1: Formula of volume of a cylinder is pi*r^2*h

where value of pi is 3.14

r is the radius

h is the height of the bottle (height is different for both bottles)

After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.

You can extract the radius by following this method:

Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)

500 = 3.14 * (r)^2 *15

500/(3.14*15) = r^2

10.616 = r^2

Taking sqrt. on both sides

We get r = 3.26

Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.

V= 3.14 * (3.26)^2 *21

V= 701.14 (approx)

5 0

2 years ago

Read 2 more answers

Jason wants to purchase a new pair of shoes. He has $70 he is able to spend. A popular new pair of shoes are sold at the shoe st

Ghella [55]

Answer:

$72.76 Us Dollars

Step-by-step explanation:

1st I found out what 20% off of $85 was and it was $68 US Dollars then I had to add 7% of $68 US Dollars and it came out to $72.76

Please Mark Brainliest!!!!

8 0

2 years ago

Which shapes have the same volume as the given rectangular prism? base area = 50 cm^2

icang [17]

Answer:The first one

Step-by-step explanation:

V rectangular prism = Area of the base *5

5 0

2 years ago

How many integers $n$ satisfy the inequality $3n^2 - 4 \le 44$?

FromTheMoon [43]

Answer:

7 integers

Step-by-step explanation:

The inequality to solve is $3n^2-4$

We can do algebra and solve this:

$3n^2-4$

If we solve $3n^2-48=0$ , we will get the intercepts. So:

$3n^2-48=0\\3(n^2-16)=0\\n^2-16=0\\n^2=16\\n=4,-4$

Since, the inequality is less than, the solution set is all numbers between -4 and 4. So

-4 < n < 4

*note: -4 and 4 is NOT included, so the integers in the range are:

-3, -2, -1, 0, 1 , 2, 3

Which is 7 integers.

8 0

2 years ago

Read 2 more answers