Respuesta :

Answer:

-2

Step-by-step explanation:

Isolate the variable y. Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3y)/3 = (15 - 6x)/3

y = (15 - 6x)/3

y = 5 - 2x

Note the equation:

y = mx + b

m = slope

b = y-intercept

x & y = the point (x , y)

Note that the slope is directly next to x. -2 is your answer.

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For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We have the following equation:

[tex]3y = 15-6x\\y = \frac {15} {3} - \frac {6x} {3}\\y = 5-2x\\y = -2x + 5[/tex]

So we have to:

[tex]m = -2[/tex]

Answer:

The slope is -2

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