Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = 
.
But, 
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. 
So, the ratio is k : 1 i.e 
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, 
= m where
i.e. m = 
i.e. m = 
i.e. m = 
i.e. m = 5.
Hence, the value of m is 5.
Answer:
y-1=
(x+8)
Step-by-step explanation:
1. y-y1=m(x-x1) (point slope form)
2. y1 is the y of your given point and x1 is the x of your given point
3. m is the slope
The numbers are constants, and the multiplication symbol is an operator.
If this equation were 4x * 6 = 24, then 4 would be a coefficient and x would be a variable. 6 and 24 are still constants and the multiplication symbol is still an operator.
For your first question the answer is C(-2) and your next question the answer is A(-28)
