Find the equation of the line which passes through the point (1,2), and is perpendicular to the line with the equation y=−12x+5. Express your answer in slope-intercept form. Simplify your answer.

12y = x + 23

Step-by-step explanation:

y = −12x + 5Perpendicular slopes are opposite reciprocals.  The original slope is −12 So the new perpendicular slope is 1/12. We plug the point (1, 2) and the slope m = 1/12 into the slope intercept form of the equation y = mx + b 

y = mx + b

2 = 1/12 * 1 + b

2 = 1/12 + b

b = 23/12

When we simplify this, we arrive at 12y = x + 23

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