Answer:
m = -11/7
n = -8/7
Step-by-step explanation:
Here, what we want to calculate is the coordinates of the point B
Let’s consider the straight line as A B C
we can see that actually, the point B divides the line into the ratio 2:5 since AB:AC is 2:5
Thus, by using the internal division formula (section formula) with the ratio of division, we can get the coordinates of point B
Mathematically, the formula for internal division is given as follows;
B = ( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))
From the question;
m:n = 2:5
Thus m = 2, n = 5
(x1,y1) are coordinates of A
x1 = -3 , y1 = -4
(x2, y2) are coordinates of C
x2 = 2 , y2 = 6
Thus, substituting these values into the equation we have;
B ={ 2(2) + 5(-3)}/(2+5) , {2(6) + 5(-4)}/(2+5)
B = (-11/7, -8/7)
