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Aleksandr-060686 [28]
3 years ago
14

Write an equation in point-slope form of the line that passes through the given points. (-2,-5), (4,-1)​

Mathematics
1 answer:
grigory [225]3 years ago
6 0

Answer:

Step-by-step explanation:

(-1 + 5)/(4 + 2) = 4/6= 2/3

y + 5 = 2/3(x + 2)

y + 5 = 2/3x + 4/3

y + 15/3 = 2/3x + 4/3

y = 2/3x - 11/3

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Solve the system. find x,y, and z please show all steps<br><br> x-y+z=1<br> x+y+3z=-3<br> 2x-y+2z=0
Mariulka [41]

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)

Adding eq(1) and eq(2)

x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\

Adding eq(2) and eq(3)

x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)

Multiplying eq(4) by 3 and eq(5) by 2

6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0

So, value of z =0

Putting value of z in eq(4)

2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

Learn more about Solve the system at:

  • brainly.com/question/6075514
  • brainly.com/question/2386054
  • brainly.com/question/7361044

#learnwithBrainly

7 0
3 years ago
Which equation is tru when the value of x is 3.5?
Murljashka [212]
None of the equations are true they are all false when you plug in 3.5 for x
7 0
3 years ago
Round 533,736 to the nearest thousand
tresset_1 [31]
The thousand if this number is 533,736.
So we need to round by that place. 
The answer is 534,000 because since the 7 is greater than 5, we need to round up. 

3 0
4 years ago
What are the intercepts?
klio [65]

Answer:

<em><u>In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.[1] As such, these points satisfy x = 0.</u></em>

7 0
3 years ago
The cost of raincoat is rs 400 and VAT is rs 40 find the rate of VAT​
DaniilM [7]

Divide vat by price

40/400 = 0.1

Multiply by 100

0.1 x 100 = 10%

Rate of vat is 10%

5 0
3 years ago
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