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.
1 answer:
12y = x + 23
Step-by-step 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
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