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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Slopes & Lines

Grade: 1400-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: at Home

Problem Id	Problem	Options
1	In the figure above, what is the length of \$\bar"NQ"\$ ? $1$	A) 8.5 B) 4.1 C) 10.4 D) 5.2
2	A line l1 passes through the point A(2,3) and is parllel to the line 2x−3y=5. Another line l2 passes through the point B(1,−2) and is perpendicular to l1 . Find the equation of l2.	A)y = \$-1/2 x -1/2\$ B) y = \$-3/2 x -1/3\$ C) y = \$-5/2 x -1/2\$ D) y = \$-3/2 x -1/2\$
3	If one endpoint of a line segment is (4,8) and the other endpoint is (8,-10), find the equation of the perpendicular bisector of this line segment.	A) y = \$2/7 x - 7/3\$ B) y = \$2/9 x - 7/3\$ C) y = \$5/9 x - 7/3\$ D) y = \$2/9 x - 11/3\$
4	Line m intersects the corner points of three adjacent squares as shown in the above figure. If AB = 6 and BC = 10, what is the length of CD? $4$	A) 16.6 B) 16.3 C) 15.6 D) 15.5
5	The straight lines x + 2y = 1 , x + y – 4 = 0 , 2x + y – 4 = 0 form a triangle which is	A) isosceles B) equilateral C) right angle D) none
6	The value of k for which the lines 5x + 6y + a = 0 and 9x + ky + a = 0 represent family of parallel lines is	A) 12.8 B) 10.8 C) 11.8 D) 10.4
7	The slope of the line to the curve \$y = 4x^2 - 6\$ at P(1, -2) is	A) \$1/8\$ B) \$8\$ C) \$-1/8\$ D) \$-8\$
8	If the slope of a line joining the points A (2, x) and B (4, 6) is 12 then find the value of x ?	A) -18 B) 16 C) 18 D) -15
9	The equation of the line parallel to the line 4x - 6y = 3 and passing through the middle point of the line segment joining the point (1,6) and (1, -10), is	A) 8y-6x+8=0 B) 4y-2x+8=0 C) 3y-2x+8=0 D) 3y-5x+8=0
10	Given two lines with equations y = 6x + 9 and y = -5x + 10, find the point of intersection.	A) \$7/11 ,105/11\$ B) \$6/11 ,106/11\$ C) \$11/11 ,105/11\$ D) \$1/11 ,105/11\$

Problem Id

Problem

Options

In the figure above, what is the length of \$\bar"NQ"\$ ?

$1$

A) 8.5

B) 4.1

C) 10.4

D) 5.2

A line l1 passes through the point A(2,3) and is parllel to the line 2x−3y=5. Another line l2 passes through the point B(1,−2) and is perpendicular to l1 . Find the equation of l2.

A)y = \$-1/2 x -1/2\$

B) y = \$-3/2 x -1/3\$

C) y = \$-5/2 x -1/2\$

D) y = \$-3/2 x -1/2\$

If one endpoint of a line segment is (4,8) and the other endpoint is (8,-10), find the equation of the perpendicular bisector of this line segment.

A) y = \$2/7 x - 7/3\$

B) y = \$2/9 x - 7/3\$

C) y = \$5/9 x - 7/3\$

D) y = \$2/9 x - 11/3\$

Line m intersects the corner points of three adjacent squares as shown in the above figure. If AB = 6 and BC = 10, what is the length of CD?

$4$

A) 16.6

B) 16.3

C) 15.6

D) 15.5

The straight lines x + 2y = 1 , x + y – 4 = 0 , 2x + y – 4 = 0 form a triangle which is

A) isosceles

B) equilateral

C) right angle

D) none

The value of k for which the lines 5x + 6y + a = 0 and 9x + ky + a = 0 represent family of parallel lines is

A) 12.8

B) 10.8

C) 11.8

D) 10.4

The slope of the line to the curve \$y = 4x^2 - 6\$ at P(1, -2) is

A) \$1/8\$

B) \$8\$

C) \$-1/8\$

D) \$-8\$

If the slope of a line joining the points A (2, x) and B (4, 6) is 12 then find the value of x ?

A) -18

B) 16

C) 18

D) -15

The equation of the line parallel to the line 4x - 6y = 3 and passing through the middle point of the line segment joining the point (1,6) and (1, -10), is

A) 8y-6x+8=0

B) 4y-2x+8=0

C) 3y-2x+8=0

D) 3y-5x+8=0

Given two lines with equations y = 6x + 9 and y = -5x + 10, find the point of intersection.

A) \$7/11 ,105/11\$

B) \$6/11 ,106/11\$

C) \$11/11 ,105/11\$

D) \$1/11 ,105/11\$