Question

find the equation of the straight line passing through each of the following pairs of points.

a) G(-6,-5 ) H(4,4)

b) K(-7,-5) L(-1,-1)

c) O(0,0) P(0,,7)

solve the following step-by-step

using the formulas:

1) m=y2-y1 / x2-x1

2) y= mx + c

Answer 1

Answer:

Given points are (at

1

2

,2at

1

) and (at

2

2

,2at

2

)

Then, equation of line is

y−2at

1

=

at

2

2

−at

1

2

2at

2

−2at

1

(x−at

1

2

)

⇒(y−2at

1

)×(t

1

+t

2

)=2x−2at

1

2

⇒y(t

1

+t

2

)−2at

1

(t

1

+t

2

)=2x−2at

1

2

⇒y(t

1

+t

2

)−2at

1

t

2

−2x=0 is the required equation.