Aim: How do we write equations of lines parallel or perpendicular to a given line? HW: Complete Worksheet Do Now: 1. Find the slope of the line given above 2.Find the slope of a line parallel to the line given above.

Parallel lines are lines that never intersect and always the same distance apart. Perpendicular lines are lines that intersect at a common point to create a right angle. l m

The slope of parallel lines are the same. y=3x+5 is parallel to y=3x-5 m=3  m||=3 The slope of perpendicular lines are negative reciprocals. y= 3x+5 is perpendicular to y= -1/3x-5 m=3  m |= -1/3

1. y=mx+b Ex) m= 2 and (1,4) 1= x coordinate 4= y coordinate (4)=(2)(1)+b 4=2+b 2=b therefore y=2x+2 2. (y-y 1 )=m(x-x 1 ) Ex) m=2 and (1,4) (y-4)=(2)(x-1) y=2x-2+4 y=2x+2 What are the two ways to formulate a linear equation?

1. Write an equation for the line that is parallel to y=6x-2 and passes through the point (0,0).

2. Write an equation for the line that is perpendicular to y=2x+7 and passes through the point (1,-10)

PAIR SHARE!! On the worksheet, do questions #1(a-d) and #2 (a-b) with the people around you. The rest of the worksheet will be for homework.