Question

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.

Answer 1

12y = x + 23

Explanation:

• y = −12x + 5
• Perpendicular 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