Unit 6 Geometric Modeling part 1

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

• $y=2x\ -3$

• $y=2x-5$

• $y=2x\ +\ 1$

• $y=-\frac{1}{2}x+\frac{5}{2}$

Tags

CCSS.HSG.GPE.B.5

Write the equation of a line PARALLEL to that passes through the point (3, 1).  $y=-\frac{5}{2}x+10$  

•  $y=-\frac{5}{2}x\ +\ 6$  

•  $y\ =-\frac{5}{2}x+\frac{17}{2}$  

•  $y=\frac{2}{5}x+6$  

•  $y=\frac{2}{5}x+\ 8$  

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

• $y=-\frac{1}{2}x+\frac{1}{2}$

• $y=\frac{1}{2}x+2$

• $y=-2x+7$

• $y=-2x+8$

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Write the equation of a line PERPENDICULAR to  $y=\frac{1}{3}x-9$  that passes through the point (-6, 10).

•  $y=\frac{1}{3}x-9$ 

•  $y=\frac{1}{3}x+10$ 

•  $y=-3x+6$ 

•  $y=-3x-8$ 

Tags

CCSS.HSG.GPE.B.5

Write the equation of a line PARALLEL to 3x - y = 2 that passes through the point (1, 5).

• y = 3x - 14

• y = 3x + 2

• $y=\frac{1}{3}x+6$

• $y=\frac{1}{3}x-4$

Tags

CCSS.HSG.GPE.B.5

Write the equation of a line PERPENDICULAR to 3x + y = 1 that passes through the point (3, -1).

• $y=\frac{1}{3}x$

• $y=\frac{1}{3}x-2$

• $y=-3x+8$

• $y=\frac{1}{3}x+\frac{10}{3}$

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

6) The ratio is 3:1. How many parts are there?

• 2

• 3

• 4

• 5

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5

• (12, 1.6)
• (-1, 7.6)
• (-1, 6.6)
• (13, 1.6)

Tags

CCSS.HSG.GPE.B.6

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

• (15/4, 5/2)
• (15/4, 7/2)
• (19/4, 3/2)
• (23/4, 3/2)

Tags

CCSS.HSG.GPE.B.6

Determine the coordinate of P that partitions JK at a ratio of 1:1

• (-3,3)

• (1,3)

• (-1,3)

• (2, 2.5)

Tags

CCSS.HSG.GPE.B.6