Answer:
The equation of the straight line in point - slope form
y +1 = -2 ( x-2)
Step-by-step explanation:
Step(i):-
Given points are C( 2,-1) and D(1,1)
Slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2[/tex]
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)
