Answer:
<h3>2x + 5y = –15.</h3>
Step-by-step explanation:
We are given coordinates of the line passed through (–5, –1) and (10, –7) .
Applying slope formula,


Therefore,


Therefore, slope is
.
Applying point-slope form
we get


On multiplying both sides by 5, we get

5y+35=-2(x-10)
5y+35=-2x+20
Adding 2x on both sides, we get
5y+25+2x=-2x+20+2x
2x+5y+35=20
Subtracting 35 from both sides, we get
2x+5y+35-35=20-35
2x+5y=-15.
Therefore, required equation is :
<h3>2x + 5y = –15.</h3>
Answer:
6:13 or 6/13
Step-by-step explanation:
the total number of marbles is 26
the total number of red marbles is 12
6 to 13
6:13 OR 6/13
<em>(I was not sure if I was supposed to leave it as 12:26 or simplify it to 6:13, but I think 6:13 is more reasonable since it is asking for a ration)</em>
I don’t think it’s the second or third one I’m narrowing it down to the first or maybe fourth
I think the answer is the first one though
Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A
and B
in the ratio m:n is given by:

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

Therefore the coordinates of point X is at (-13, -7)