Question

Can anyone help me wth 16th qstn

Answer 1

the coordinates of point of intersection are ( -34/13 , 0)

Answer 2

A(-4,-6) B(-1,7)

Let the point where x axis cuts line AB be P(0,y).

Let it cut the line in the ratio m1:m2

P(0,y)= (m1x2+m2x1/m1+m2), (m1y2+m2y1/m1+m2)

P(0,y)= (-4m1-m2/m1+m2), (7m1-6m2/m1+m2)

0=(-4m1+m2/m1+m2)

0×(m1+m2)= -4m1+m2

0= -4m1+m2

4m1=m2

m1/m2=1/4

m1:m2=1:4

Thus, the ratio is 1:4.

y=(7m1-6m2/m1+m2)

y=(7(1)-6 (4)/1+4)

y= (7-24/5)

y=(-17/5)

Therefore, point P (0,-17/5) divides line AB in th eratio 1:4