A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio. Find M. (There is no accompanying image, sorry)

This is really hard without the image, but im sure the answer is in the step by step explanation

Step-by-step explanation:

y  Internal section formula ,

the coordinate of M is

M={[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}

Given

m: n = 5: 1

(x1,y1) =(1,-2)

(x2,y2) =(10,3)

now you can find the co ordinate of M by substituting all values

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

i got 10.28 but that rounds up to 10.3