A straight line PQ passing through points (1,-6) and (6, 14). Determine whether a straight line which passing through (-4,-8) and (-1,7) is parallel to PQ. Explain your answer. [3 markah / marks)

line not parallel to PQ

Step-by-step explanation:

Parallel lines have equal slopes

Calculate slopes m of both lines using slope formula

m =

with (x₁, y₁ ) = (P (1, - 6) and (x₂, y₂ ) = Q (6, 14 )

= = = = 4

Repeat with (x₁, y₁ ) = (- 4, - 8 ) and (x₂, y₂ ) = (- 1, 7 )

m = = = = 5

Since slopes are not equal then lines are not parallel

the answers are in the images, i received 100% on this assignment. hope this !

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional