Answer:
4x - 5y - 9 = 0


Step-by-step explanation:
The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by 
⇒ 
⇒ 5y + 25 = 4x + 16
⇒ 4x - 5y - 9 = 0 ....(1) (Answer)
Now, this above equation can be represented as

Therefore, the x-intercept is
(Answer)
And the y-intercept is
. (Answer)
k-4/3= 3
Mutiply both sides by 3 .
(3)(k-4/3)= (3)(3)
Cross out 3 and 3 , divide by 3 and then becomes k-4= 9
Move -4 to the other side
Sign changes from -4 to +4
k-4+4= 9+4
k= 13
Answer: k= 13