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Fittoniya [83]
3 years ago
11

What is the slope of the line shown in the graph? A 3/2 B 2/3 C -3/4 D - 2/3

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

D. -2/3

Step-by-step explanation:

Since it is going down, it is negative

Think of this: Rise/Run

In this case, rise is when you are going up or down the graph

Run is when you are going to the right of the graph

Let's use 2 points (0,3) and (3,1)

Since you are going three points to the right we are going to put 3 in for run

You are going 2 places down, so we are going put -2 in for rise

This gives us -2/3

Another way to do this is (1-3)/(3-0) = -2/3

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<span> 7x+2y=5;13x+14y=-1 </span>Solution :<span><span> {x,y} = {1,-1}</span>  </span>System of Linear Equations entered :<span><span>  [1] 7x + 2y = 5 </span><span>  [2] 13x + 14y = -1 </span></span>Graphic Representation of the Equations :<span> 2y + 7x = 5 14y + 13x = -1 </span>Solve by Substitution :

// Solve equation [2] for the variable  y  
 

<span> [2] 14y = -13x - 1 [2] y = -13x/14 - 1/14</span>

// Plug this in for variable  y  in equation [1]

<span><span>  [1] 7x + 2•(-13x/14-1/14) = 5 </span><span>  [1] 36x/7 = 36/7 </span><span>  [1] 36x = 36 </span></span>

// Solve equation [1] for the variable  x  

<span><span>  [1] 36x = 36</span>  <span>  [1] x = 1</span> </span>

// By now we know this much :

<span><span>  x = 1</span> <span>  y = -13x/14-1/14</span></span>

<span>// Use the  x  value to solve for  y  
</span>

<span>   y = -(13/14)(1)-1/14 = -1 </span>Solution :<span><span> {x,y} = {1,-1}</span>  <span> Processing ends successfully</span></span>
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