U6L10 Equations of Lines

The solid line has been ​ (a)   in ​ (b)   ways:

1.     by the directed line segment from (2, 2) to (2, 4) to produce the ​ (c)  

 

2.     by the directed line segment from (2, 2) to (2, -2) to produce the ​ (d)  

• 2 different
• dashed line above
• dotted line below
• translated

The 3 lines look (a)   to one another, as we would expect. We know that (b)   of lines result in parallel lines. What happens to the (c)   of these lines? If we draw in the slope triangles that go through the (d)   , we can see right triangles. Since we know the lines are parallel, the corresponding pairs of angles in the triangles must be (e)   by the Alternate Interior Angles Theorem.

• parallel
• translations
• slopes
• origin
• congruent

Tags

CCSS.HSG.CO.C.9

• any 2 parallel lines that aren’t vertical
• same slope
• are parallel

Tags

CCSS.8.EE.B.6

What if we wanted to ​ (a)   of a line ​ (b)   to these 3 lines that goes through the ​ (c)   ? We know the line must have the same slope of ​ (d)   . We can use point-slope form and get ​ (e)   .

• find the equation
• parallel
• point (6,-1)

Which equation represents a line which is parallel to the line y = 2x − 8?

• y = -1/2 x +8

• y = -2x +3

• y = 2x + 5

• y = 1/2x +2

Write the line parallel to the given line.

a

b

c

Write the equation of the line parallel to the given line.

a

b

c

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 and has an y-intercept of -2?

Tags

CCSS.HSG.GPE.B.5

Which equation represents a line parallel to the line y = -3x + 4?

• y = -3x + 2

• y = 3x - 1

• y = -1/3x + 4

• y = 1/3x + 4