Find the slope of the given line.

3y + x = 2

3y = -x + 2 ← subtracted x from each side

y = (-1/3)x + (2/3) ← divided each side by 3

slope = -1/3

Substitute point and slope into slope-intercept form.

(-2,-5) , m = -1/3

y = mx + b

-5 = (-1/3)(-2) + b ← substituted

-5 = 2/3 + b ← multiplied

b = -17/3 ← subtracted 2/3 from each side

slope is -1/3 and y-intercept is -17/3

**y = (-1/3)x - (17/3)**- Proof

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