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