Show that the three points (4, 2), (7, 5) and (9, 7) lie on a straight line.
Answers
Answered by
1
M=y2-y1/x2-x1
(4,2) (7,5) (9,7)
M1=5-2/7-4=1
M2=7-5/9-7=1
M3=7 -2/9-4 =1
M1= m2= m3= 1
all the three points have same slope
That is they lie in the same line
Answered by
1
points are (4,2) ,(7,5) & (9,7)
equation of line joining the points (4,2) & (7,5) is
y - 2 = (5-2)/(7-4) (x-4)
y - 2 = x - 4
x - y - 2 = 0
if the point (9,7) lie on the line then it satisfy the equation
9 - 7 - 2 = 0
0 = 0
hence points (4,2),(7,5) & (9,7) lie on a straight line
equation of line joining the points (4,2) & (7,5) is
y - 2 = (5-2)/(7-4) (x-4)
y - 2 = x - 4
x - y - 2 = 0
if the point (9,7) lie on the line then it satisfy the equation
9 - 7 - 2 = 0
0 = 0
hence points (4,2),(7,5) & (9,7) lie on a straight line
Similar questions