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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

4. Parallel and Perpendicular Lines

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Exercise 16 Page 243

What do parallel lines have in common?

y=13x-105

Practice makes perfect

When lines are parallel, they have the same slope. Let's consider the given equation. y=13x-4 The slope of a line represented by the above equation is 13. Therefore, the slope of any parallel line will also be 13. y=13x+b To find the equation of a parallel line through the point ( 9, 12), we will substitute 9 and 12 for x and y respectively, in the above formula.

y=13x+b

x= 9, y= 12

12=13( 9)+b

▼

Solve for b

Multiply

12=117+b

LHS-117=RHS-117

-105=b

Rearrange equation

b=-105

Now that we know the y-intercept is - 105 we can write the equation of the parallel line through the given point.

y=13x+( - 105) ⇔ y=13x-105

Subchapter links

Check Your Understanding p.242

Practice and Problem Solving p.243-244

H.O.T. Problems p.244

Standardized Test Practice p.245

Spiral Review p.245

Skills Review p.245