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Neporo4naja [7]
2 years ago
15

Write the equation that describes each line in slope intercept form

Mathematics
2 answers:
Diano4ka-milaya [45]2 years ago
7 0

Hello there! :)

Let's use the slope formula:

m=\frac{y2-y1}{x2-x1} \\\frac{0-3}{3-0} \\\frac{-3}{3} \\=-1

So the slope (m) is -1.

Now, let's find the y-intercept. It's where the graph touches the y-axis.

The y-intercept is 3.

So our equation looks like so:

y=-x+3

Hope this helps!

~Just a cheerful gal

#CarryOnLearning

SilentNature :)

skelet666 [1.2K]2 years ago
4 0
When I did this problem to get slope intercept form I got: Y=-1x+3
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What are the first three common multiples of 8 and 12
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24, 48, 72

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7 0
3 years ago
Which are the solutions of the quadratic equation x2 =-5-3
alexdok [17]

Answer: x = 2 • ± √2 = ± 2.8284

Step-by-step explanation:

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.  

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 8 is not a square !!  

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 x2 - 8  = 0  

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    x2-8 = 0  

Add  8  to both sides of the equation :  

                     x2 = 8  

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 8  

Can  √ 8 be simplified ?

Yes!   The prime factorization of  8   is

  2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 8   =  √ 2•2•2   =

               ±  2 • √ 2  

The equation has two real solutions  

These solutions are  x = 2 • ± √2 = ± 2.8284  

 

Two solutions were found :

                  x = 2 • ± √2 = ± 2.8284

Not sure what you need help with, but I hope I helped you somehow.

5 0
3 years ago
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