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Lelu [443]
3 years ago
11

What is the slope of the line with equation 6x+3y=12?

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

<h2>The slope m = -2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the equation in the standard form:

6x+3y=12

Convert to the slope intercept form:

6x+3y=12              <em>subtract 6x from both sides</em>

3y=-6x+12           <em>divide both sides by 3</em>

y=-2x+4

slope: <em>m = -2</em>

y-intercept: <em>b = 4</em>

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Answer:

The answer to your question is 2(x - 9/2)(x - 3/5)

Step-by-step explanation:

Polynomial           20x² - 102x + 54

Process

1.- Find the Greatest Common Factor

                            20   102   54   2

                             10     51    27  2

                              5      51    27  3

                              5      17      9  3

                              5       17     3  3

                              5       17      1  5

                               1       17         17

                                         1

GCF = 2

2.- Factor 2

                        2(10x² - 51x + 27)

3.- Factor   10x² - 51x + 27

Use the general formula to solve this equation

                        x = \frac{-b +- \sqrt{b^{2} - 4ac}}{2a}

a = 10   b = -51   c = 27

                        x = \frac{51 +- \sqrt{51^{2} -4(10)(27)}}{2(10)}

-Simplification

                       x = \frac{51 +- 39}{20}

-Result

                        x₁ = 9/2       x₂ = 3/5

                       (x - 9/2)        (x - 3/5)

4.- Answer

                      2(x - 9/2)(x - 3/5)                              

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