What is the slope of any line parallel to the line 12 𝑥 + 18 𝑦 = 6 in the standard (𝑥,𝑦) coordinate plane?

A) \$-(2/6)\$

B) \$-(4/3)\$

C) \$-(2/3)\$

D) \$-(6/5)\$

What is the slope of the line through ( 6, − 4 ) and ( 9, 5 ) in the standard (𝑥, 𝑦) coordinate plane?

A) \$7\$

B) \$4\$

C) \$5\$

D) \$3\$

Find the equation of a line that is perpendicular to y = 3x + 2 and passes through the point (1,- 4).

A) \$-(4/3)x + 11/3\$

B) \$-(1/3)x - 11/3\$

C) \$-(1/4)x +11/3\$

D) \$(1/3)x - 11/6\$

The given equations 12x − 16y = 24 & 3x - ny = 12 are parallel, find the value of n.

A) 4

B) 3

C) 5

D) 6

Find the slope of the perpendicular bisector of the line segment joining the points(10, 12) & (14, 10).

A) 2

B) 3

C) 4

D) 5

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

A) \$15/2\$

B) \$-15/2\$

C) \$-17/2\$

D) \$-11/2\$

In triangle ABC with vertices A(5, 6), B(11, 12), and C(2, 5), find the length of side AB.

A) \$6\sqrt3\$

B) \$\sqrt72\$

C) \$8\sqrt2\$

D) None

Find the value of 'P' for which lines (P - 4)x + y - 5 = 0 and - Px - 3y + 2 = 0 are parallel?

A) -6

B) -8

C) 6

D) 8

The slope of a line passing through the points (4,9) and (k,5) is -1/2 . Find the value of k.

A) 15

B) 16

C) 12

D) 14

Find the slope of a normal line making inclination of 30° with the positive direction of x axis.

A)\$-1/\sqrt3\$

B) \$-\sqrt2\$

C) \$\sqrt3\$

D) \$-\sqrt3\$