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Pearson Algebra 1 Common Core, 2011 View details

2. Solving Systems Using Substitution

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Exercise 54 Page 377

What is the relationship between perpendicular lines?

-3

Practice makes perfect

When two non-vertical lines are perpendicular, their slopes will be negative reciprocals of one another. In the slope-intercept form, m is the slope and (0, b) is the y-intercept. y=mx+ b To help us identify the slope of the given line, let's first convert it into the slope-intercept form.

1/3x-y=2

AddEqn

LHS+y=RHS+y

1/3x=2+y

SubEqn

LHS-2=RHS-2

1/3x-2=y

RearrangeEqn

Rearrange equation

y=1/3x-2

We can see that the slope is 13. From here we can identify that any line perpendicular to the given equation will have a slope of -3.