Question

The line CD passes through the points C (2, -1) and D (1, 1). Which of the

following represents the equation of the line in Point-Slope Form?

Answer 1

The equation of the straight line in point - slope form

y +1 = -2 ( x-2)

Explanation:

Step(i):-

Given points are C( 2,-1) and D(1,1)

Slope of the line

`m = (y_(2)-y_(1) )/(x_(2)-x_(1) ) = (1-(-1))/(1-2) = (2)/(-1) = -2`

m = -2

Step(ii):-

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

Final answer:-

The equation of the straight line

y +1 = -2 ( x-2)