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Big Ideas Math Integrated I, 2016 View details

3. Writing Equations of Parallel and Perpendicular Lines

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Exercise 26 Page 182

What is the relation between the slopes of perpendicular lines?

Error: The slope was calculated incorrectly.
Correct equation: y=-3x+7

Practice makes perfect

Two lines are perpendicular if and only if their slopes are negative reciprocals. Consider the given line. y= 1/3x+5 Here, the slope is 13. This means that any perpendicular line will have a slope of -3. In the solution provided, they wrote a slope of 3. This is the error. Let's correct it.

y-y_1=m(x-x_1)

SubstituteValues

Substitute values

y-(-5)= -3(x- 4)

SubNeg

a-(- b)=a+b

y+5=-3(x-4)

Distr

Distribute -3

y+5=-3x+12

SubEqn

LHS-5=RHS-5