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asambeis [7]
3 years ago
8

Write an equation of the line that passes through the points. (0,1),(−2,−5)

Mathematics
2 answers:
Arada [10]3 years ago
6 0

Answer:

y=4/-2

Step-by-step explanation:

I think that is the answer

stepan [7]3 years ago
4 0

Answer:

y=3x+1

Step-by-step explanation:

Given the following question:

Point A = (0, 1) = (x1, y1)
Point B = (-2, -5) = (x2, y2)

In order to find the answer, we must first find the slope of the two given points by using rise over run.

m=\frac{y2-y1}{x2-x1}
m=\frac{-5-1}{-2-0}
m=\frac{-5-1}{-2-0} =\frac{-6}{-2}
=\frac{-6}{-2} =-6\div-2=3
m=3

Now that we know the slope, we can now write the equation in slope intercept form.

y=mx+b
m=3
y=1
x=0
<u>
Substitute:</u>

1=3(0)+b
3\times0=0
1=b
b=1
y=3x+1

Hope this helps.

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−4x+7y+5=0<br> x−3y=−5<br> ​ <br><br> How many solutions does the system have?
xeze [42]

   

Solution:  

Using Substitution Method:

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

get the value of x from Equation 2

x=3y-5     (Equation 3)  

Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

-4(3y)+20+7y=-5

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Negative sign on both sides cancels each other

y=25/5

y=5

Putting value of y in equation 3

x=3(5)-5

x=15-5

x=10

Therefore,   [x,y]=[10,5]

Using Elimination Method

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

-4(x-3y)=-5*4

-4x+12y=20     (Equation 3)

Adding Equation 1 and 3

-4x+7y=-5    

-4x+12y=20    

+    -     = -   (Change Of Sign with x and y terms)

-----------------

0x-5y = -25

-5y=-25

y=5  

Substituting y’s value is Equation 1

-4x+7(5)=-5

-4x+35=-5

-4x=-40

Cancellation of negative sign on both sides

x=40/4

x=10

[x,y]=[10,5]

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Step-by-step explanation:

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