Mathematics: SOS NEED HELP ASAP PLEASE

SOS NEED HELP ASAP PLEASE - id15065595, krazziekidd2p845ri

FutureDB

02.04.2023

M = (8.5,2.5)

Step-by-step explanation:

Given

X (1, −2) and Y (10, 3)

Ratio of point M; m:n = 5:1

Required

Find the coordinates of M

When a line is divided in ratios, the coordinates of the line is calculated by

$M = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

Where;

(x_1,y_1) = (1,-2)

(x_2,y_2) = (10,3)

m:n = 5:1

The equation becomes

$M = (\frac{5 * 10+1 * 1}{5+1},\frac{5*3+1*-2}{5+1})$

$M = (\frac{50+ 1}{5+1},\frac{15-2}{5+1})$

$M = (\frac{51}{6},\frac{13}{6})$

M = (8.5,2.5)

Hence, the coordinates of point M is; M = (8.5,2.5)

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