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You can find the slope by solving for y.
6x - 5y = 10
-5y = -6x + 10 (subtract 6x from both sides)
y = (-6/-5)x + 10/-5 (divide both sides by -5)
y = (6/5)x - 2
The slope is 6/5, the coefficient of x when the equation is in this form.
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When the equation is in standard form, as it was to start with
ax + by = c
The slope is -a/b. That would be (-6/-5) = (6/5).
6x - 5y = 10
-5y = -6x + 10 (subtract 6x from both sides)
y = (-6/-5)x + 10/-5 (divide both sides by -5)
y = (6/5)x - 2
The slope is 6/5, the coefficient of x when the equation is in this form.
_____
When the equation is in standard form, as it was to start with
ax + by = c
The slope is -a/b. That would be (-6/-5) = (6/5).
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