Respuesta :

Search ResultsFirst, put the equation of the line given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.
2y + 3x = 6.
2y = -3x + 6
y = -3/2x + 3
 ...slope = -3/2

because 
perpendicular  so slope = 2/3

using y = mx + b passing 
(6;5) to find b
5 = 2/3(6) + b
5 = 4 + b
5 - 4 = b
1 = b or b = 1

Answer: 
Equation: y = 2/3x + 1
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