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Gre4nikov [31]
3 years ago
6

Write the equation of a line that has a slope of -4 and goes through (-2,7).

Mathematics
1 answer:
Anni [7]3 years ago
7 0

Answer:

y = -4x - 1

Step-by-step explanation:

Equation of a line is given as:

y = mx + b

Where

m is the slope

and

b is the y-intercept (y-axis cutting point)

Since we know slope is -4, we can write:

y= mx + b

y = -4x+ b

Given the point (-2,7) , we can say:

x = -2

and

y = 7

Plugging these 2 values, we can solve for b:

y = -4x + b

7 = -4(-2) + b

7 = 8 + b

b = 7 - 8

b = -1

Now, we have the equation:

y = -4x - 1

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Substitute this equation x+3y=18 & -x-4y=-25
sveticcg [70]

Answer:

 {x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    x + 3y = -18

  [2]    -x + 4y = -25

Graphic Representation of the Equations :

   3y + x = -18        4y - x = -25  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  x  

 

 [1]    x = -3y - 18

// Plug this in for variable  x  in equation [2]

  [2]    -(-3y-18) + 4y = -25

  [2]    7y = -43

// Solve equation [2] for the variable  y  

  [2]    7y = - 43  

  [2]    y = - 43/7  

// By now we know this much :

   x = -3y-18

   y = -43/7

// Use the  y  value to solve for  x  

   x = -3(-43/7)-18 = 3/7  

Solution :

{x,y} = {3/7,-43/7}

5 0
2 years ago
What is (1/4)^2x+3=2^5x+4<br> find the value of x?
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Answer:

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Answer:

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Step-by-step explanation:

Exact Form:

x

=

ln( 18)

---------

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Decimal Form:

x=4.16992500

…

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