
Philip P. answered 02/28/18
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3x + 5y = -2
Convert to slope-intercept form (y = mx + b) to find the slope:
5y = -3x - 2
y = (-3/5)x - 2/5
Slope is -3/5. Slope of perpendicular line is the negative reciprocal, 5/3. y-intercept is given as 2:
y = (5/3)x + 2