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
lianna [129]
3 years ago
9

A line contains the points (-4,5) and (3,-9). Write the equation of the line using slope-intercept form..please hurry

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

y= -2x-3

Step-by-step explanation:

Using the slope intercept form we have to first find the gradient of the line.

m=(y₂-y₁)/(x₂-x₁)

y₁=5

y₂=-9

x₁=-4

x₂=3

Therefore, m= (-9-5)/(3--4)

=-2

Therefore if we pick any point on the line, say, (-4,5) we obtain the same slope.

(y-5)/(x--4)=-2

(y-5)/(x+4)=-2

y-5=-2(x+4)

y-5=-2x-8

y= -2x-3

Thus the equation of the line in the slope intercept form is: y= -2x-3

You might be interested in
ANSWER QUICKLY..
astra-53 [7]

Answer:

10 weeks

Step-by-step explanation:

Let's set an equation for you and your brother.

You have $90 plus $18 for every week you save (x).

90+18x

And your brother has $120 plus $15 dollars per week that he saves (x)

120+15x

You want to have the sum of the money equal so combine the two concluded statements

90+18x=120+15x

Arrange them so that you have like terms on each side

90+18x-15x=12+15x-15x

90+3x=120

90-90+3x=120-90

3x=30

x=10

"x" is our number of weeks you and your brother save so the answer is 10 weeks

Just to be sure you can use our equation and plug 10 for every time you see x to make sure our answer is right.

6 0
3 years ago
He buys a suit that was on sale for 25%off. He only paid $125.00. What was the original price? What was the amount of the discou
Citrus2011 [14]

Equation  1):

You want to buy something that costs $166.66, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $166.66 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $166.66, like this:  

0.250 x $166.66 = $41.67.

So for this sale, you'll save $41.67 on this item.

This means, the cost of the item to you is  

$166.66 - $41.67 = $125.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?  

0.750 x $166.66 = $125.00.

Answer =====> Just like the result above, the sale price on the item is $125.00.





Equation 2:)

You want to buy something that costs $125, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $125 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $125, like this:  

0.250 x $125 = $31.25.

So for this sale, you'll save $31.25 on this item.

This means, the cost of the item to you is  

$125 - $31.25 = $93.75.  

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $125 = $93.75.

Answer =====> Just like the result above, the sale price on the item is $93.75.




Hope that helps!!!                                                     : )


8 0
3 years ago
Show that point (pi/3,1/2) is on the curve of y=cosx
jarptica [38.1K]
Here y=1/2 x=pi/3=60°

y=cosx
1/2=cos60° and cos60°=1/2
so LHS=RHS

so that point is on curve y=cosx
6 0
3 years ago
Rick eats 8 burgers and has 563 leftover how many did he have to begin with
Alex73 [517]
563+8=571 burgers to start with
3 0
3 years ago
Read 2 more answers
Find the gradient and the intercept shown by the straight line 2x + 3y = 6 ​
sveta [45]

Answer:

\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2

Step-by-step explanation:

<h2>Equation of the line in slope intercept form:</h2>

      \sf \boxed{\bf y = mx +b}

Here m is the slope or gradient and b is the y-intercept.

Write the given equation in slope-intercept form.

  2x + 3y = 6

          3y = -2x + 6

            \sf y =\dfrac{-2}{3}x +\dfrac{6}{3}\\\\     y = \dfrac{-2}{3}x + 2

\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2

6 0
2 years ago
Read 2 more answers
Other questions:
  • What are the intercepts of the line 5x+y=20
    14·1 answer
  • A soccer league has 170 players. Of those players 40% are boys. How many boys are in the soccer league?
    11·2 answers
  • Which other expression has the same value as (-14)-(-8)
    12·1 answer
  • Find the sum of the first six terms of the sequence.<br><br><br> S6 = ⇒ 84
    11·1 answer
  • Which is greater five ones and eight tenths or fifty eight tenths
    5·2 answers
  • 26 ÷ -6<br><br>as a mixed number and simplified ​
    5·2 answers
  • The tables represent the functions f(x) and g(x).
    11·1 answer
  • Graph the integers and their opposites.<br><br> -2
    5·2 answers
  • Solve. 9(x+1)=4-2(9x+5)
    5·2 answers
  • Angie’s rotation maps triangle XYZ to triangle X’Y’Z’. Which describes the rotation?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!