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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Slopes & Lines

Grade: 1300-a Lesson: S3-L4

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	The slope of a line joining P(4, k) and Q (2k - 2, 12) is 4. Find k	A) 6 B) 3 C) 4 D) 5
2	Trapezoid ABCD is graphed in the standard (x,y) coordinate plane. What is the slope of CD? $2$	A) \$3/2\$ B) \$5/2\$ C) \$3/5\$ D) \$7/2\$
3	If line L1 has a slope of 4/5 and line L2 is perpendicular to L1 and passes through the point (5, -6), find the equation of L2.	A) y = \$5/4x - 1/4\$ B) y = \$- 5/4x + 1/4\$ C) y = \$- 4/5x + 1/5\$ D) y = \$ 4/5x - 1/5\$
4	Given a line with equation y = 4/6 x + 8, construct a line perpendicular to it passing through the point (3, 2).	A) y = \$-3/2 x + 13/2\$ B) y = \$-1/2 x + 13/2\$ C) y = \$-3/2 x + 15/2\$ D) y = \$-3/2 x + 13/3\$
5	If a line segment has endpoints (1,2) and (5,6), and the slope of the line segment is 3/2 , determine if another line segment with endpoints (3,−1) and (−1,5) is perpendicular to it.	A) No B) Yes C) Both A&B D) None
6	Find the point of intersection of the lines y = 4x + 8 & y = -5x + 10.	A) \$2/9,9/80\$ B) \$2/9,80/9\$ C) \$9/2,80/9\$ D) \$9/2,9/80\$
7	What is the distance between the lines 6x+8y−7=0 and 12x+16y+14=0 ?	A) \$3/5\$ B) \$7/5\$ C) \$7/4\$ D) \$7/10\$
8	Determine whether the lines represented by the equation 3x − 4y = 10 & 12x + 9y = 18 are parallel, perpendicular, or neither.	A) Parallel B) Perpendicular, Parallel C) Perpendicular D) None
9	What is the equation of the line which is at a perpendicular distance of 10 units from the origin and the angle made by the perpendicular with the positive x-axis is 60°?	A) \$x + \sqrt3 y - 10 = 0\$ B) \$x + \sqrt2 y - 20 = 0\$ C) \$x + \sqrt3 y - 20 = 0\$ D) \$\sqrt2 x + \sqrt3 y - 20 = 0\$
10	In the figure above, RS // AM and segment SA intersects segment MR at T. What is the length of AS? $10$	A) 27 B) 24 C) 23 D) 21

Problem Id

Problem

Options

The slope of a line joining P(4, k) and Q (2k - 2, 12) is 4. Find k

A) 6

B) 3

C) 4

D) 5

Trapezoid ABCD is graphed in the standard (x,y) coordinate plane. What is the slope of CD?

$2$

A) \$3/2\$

B) \$5/2\$

C) \$3/5\$

D) \$7/2\$

If line L1 has a slope of 4/5 and line L2 is perpendicular to L1 and passes through the point (5, -6), find the equation of L2.

A) y = \$5/4x - 1/4\$

B) y = \$- 5/4x + 1/4\$

C) y = \$- 4/5x + 1/5\$

D) y = \$ 4/5x - 1/5\$

Given a line with equation y = 4/6 x + 8, construct a line perpendicular to it passing through the point (3, 2).

A) y = \$-3/2 x + 13/2\$

B) y = \$-1/2 x + 13/2\$

C) y = \$-3/2 x + 15/2\$

D) y = \$-3/2 x + 13/3\$

If a line segment has endpoints (1,2) and (5,6), and the slope of the line segment is 3/2 , determine if another line segment with endpoints (3,−1) and (−1,5) is perpendicular to it.

A) No

B) Yes

C) Both A&B

D) None

Find the point of intersection of the lines y = 4x + 8 & y = -5x + 10.

A) \$2/9,9/80\$

B) \$2/9,80/9\$

C) \$9/2,80/9\$

D) \$9/2,9/80\$

What is the distance between the lines 6x+8y−7=0 and 12x+16y+14=0 ?

A) \$3/5\$

B) \$7/5\$

C) \$7/4\$

D) \$7/10\$

Determine whether the lines represented by the equation 3x − 4y = 10 & 12x + 9y = 18 are parallel, perpendicular, or neither.

A) Parallel

B) Perpendicular, Parallel

C) Perpendicular

D) None

What is the equation of the line which is at a perpendicular distance of 10 units from the origin and the angle made by the perpendicular with the positive x-axis is 60°?

A) \$x + \sqrt3 y - 10 = 0\$

B) \$x + \sqrt2 y - 20 = 0\$

C) \$x + \sqrt3 y - 20 = 0\$

D) \$\sqrt2 x + \sqrt3 y - 20 = 0\$

In the figure above, RS // AM and segment SA intersects segment MR at T. What is the length of AS?

$10$

A) 27

B) 24

C) 23

D) 21