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Marta_Voda [28]
3 years ago
10

What is the equation in point -slope form of a line that passes through the points (2,-6) and has a slope of -3/4

Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

The point-slope form of that line is y + 6 = -3/4(x - 2)

Step-by-step explanation:

When you have a point and the slope, you can find the point-slope form of the equation by simply putting the values in their correct spot using the base formula.

y - y1 = m(x - x1)

y - -6 = -3/4(x - 2)

y + 6 = -3/4(x - 2)

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Write an equation for the nth term of the arithmetic sequence.<br> 17, 12, 7, 2, ...<br> an=
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Answer:

An equation for the nth term of the arithmetic sequence 17, 12, 7, 2 is 17-5n.

Step-by-step explanation:

Given,

first term(a)=17

common difference (d)=t2-t1

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5 0
2 years ago
Substitute this equation x+3y=18 &amp; -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}

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