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The slope is -3.
We need to find the slope of the following equation:
⇒ [tex]\sf 6x+2y=-10[/tex]
First, we need to convert this equation into slope-intercept form, which is:
y = mx + b
where:
To convert, first subtract 6x from both sides.
[tex]\sf 2y=-10-6x[/tex]
[tex]\sf 2y=-6x-10[/tex]
Next, divide both sides by 2.
[tex]\sf y=-3x-5[/tex]
The slope is the number in front of x. So for this equation, -3 is the slope.