Question

If the point a(x,2) b(-3,-4) and c (7,-5) will form an collinear line then find x

Answer 1

hello ☺


x1=-3..........y1=-4


x2=7...........y2=-5

slope=(y2-y1)/(x2-x1)=(-5+4)/(7+3)=-1/10

equation...=y-y1=slope(x-x1)

y+4=(-1/10)*(x+3)

10y+40=-x-3

x+10y=-43.....①



coordinates of A=(x,2)

as the lines are collinear so value of x=x and y=2 will satisfy the eq.①

x+10*2=-43

x+20=-43

x=-63



thank you