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Arturiano [62]
3 years ago
14

Write an equation in Slope Intercept Form for the following line.

Mathematics
2 answers:
katrin2010 [14]3 years ago
4 0

Answer:

y=2x+-4

Step-by-step explanation:

Ray Of Light [21]3 years ago
4 0

Answer:

The equation in slope intercept form (y = mx + b) is y = 2x - 4

m = the slope

b = the y intercept

The line cross the y-axis at -4 so the y-intercept (b) is -4.

You can use the slope formula \frac{y_{2}-y_{1}  }{x_{2}-x_{1} } since you have plotted points (0, -4) and (2, 0) on the graph that you can plug in.

\frac{0--4}{2-0} = \frac{4}{2} = 2

So the slope (m) is 2. Now you can make the slope-intercept form using these values. So, the equation for the line is y = 2x - 4

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Identify the binomial A. 2x 2 + 3x −1 + y B. x 2 C. x 2 −4x + 2 D. x 2 − 4
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D because a binomial means the expression has two: x2 and -4
3 0
3 years ago
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2 years ago
One positive number is one-fifth of another number. the difference of the two numbers is 84. find the numbers.
seraphim [82]
Answer:  The numbers are:  " 21 " and " 105 " .
___________________________________________________
Explanation:
___________________________________________________
Let "x" be the "one positive number:

Let "y" be the "[an]othyer number".

x = 1/5 (y)
___________________________________________________
Given that the difference of the two number is "84" ;  and that "x" is (1/5) of  "y" ;  we determine that "x" is smaller than "y".

So, y − x = 84 .

Add "x" to each side of this equation; to solve for "y" in terms of "x" ;

y − x + x = 84 + x  ;

 y = 84 + x ;
___________________________________________________
So, we have: 

 x = (1/5) y ;

and:  y = 84 + x  ;

Substitute "(1/5)y" for "x" ;  in  "y = 84 + x " ;  to solve for "y" ;

 y = 84 + [ (1/5)y ]

Subtract  " [ (1/5)y ] " from EACH SIDE of the equation ;

y − [ (1/5)y ] = 84 + [ (1/5)y ] −  [ (1/5)y ]  ;

to get:

  [ (4/5)y ] = 84 ;


       ↔    (4y) / 5 = 84  ;
      
        →  4y = 5 * 84  ;

      Divide EACH SIDE of the equation by "4" ; 
to isolate "y" on one side of the equation; and to solve for "y" ;

           4y / 4 = (5 * 84) / 4 ;

                 y =  5 * (84/4) = 5 * 21 = 105 .

   y = 105 .
___________________________________________________
Now, plug "105" for "y" into:
___________________________________________________
Either:
___________________________________________________
 x = (1/5) y ;

OR:

  y = 84 + x  ;
___________________________________________________
to solve for "x" ;
___________________________________________________
Let us do so in BOTH equations; to see if we get the same value for "x" ; which is a method to "double check" our answer ;
___________________________________________________
Start with:

x = (1/5)y 

    →  (1/5)*(105) = 105 / 5 = 21 ;  x = 21 ; 

___________________________________________________
So, x = 21;  y = 105 .
___________________________________________________
Now, let us see if this values hold true in the other equation:
___________________________________________________
y = 84 + x ;

105 = ? 84 + 21 ?
 
105 = ? 105 ? Yes!
___________________________________________________
The numbers are:  " 21 " and  "105 " .
___________________________________________________

6 0
3 years ago
If an ant is is actually only 5.5mm in length, then what is the scale factor of this drawing?
Zarrin [17]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
What percentage is shown in the picture?
timofeeve [1]
Total strips = 8
Colored strips = 6

6/8 x 100 = 75%
7 0
3 years ago
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