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:
Step-by-step explanation:
: <span> you have to solve for y. So if you do that you get y= -2/3x + 6
graph according to y=mx + b
b is y intercept, so the graph crosses the point (0, 6)
m is the slope and slope is rise over run. So go down 2 and right 3 from (0,6) as many times as you need to fill up the graph.
Then go up 2 and left 3 from (0,6) as many times as you need to fill the graph.
Put arrows at each end of your line to show that it's a line. </span>
Answer:
let t = number of three-point shots
let f = number of free throw shots
Step-by-step explanation:
t + f = 9 (he made a total of 9 shots altogether)
3t + 1f = 23 (number of shots multiplied by their point value)
substitution method: t = 9 - f
3(9 - f) + f = 23
27 - 3f + f = 23
-2f = -4
f = 2
find 't': t + 2 = 9
t = 7