Question

What is the slope of the line passing through the points (−3, 4) and (2, −1) ? 35 1 −1 −53

Answer 1

slope(m)=y2-y1/x2-x1         eq 1

here, x1=-3, y1=4, x2=2, y2= -1...

putting these values in eq 1

we get,

m= -1-(4)/2-(-3)

m= -5/5

  = -1

hope it helps......

Answer 2

We know, when two points are given the method which can be applied for getting the slope of the line passing through the same points is $\dfrac{y_{2}-y_{1}}{x_{2}-x{1}}$

Given points : ( - 3 , 4 ) and ( 2 , - 1 )

$x_{1}=-3\:\:\:x_{2}=2\:\:\:y_{1}=4\:\:\:y_{2}=-1$

       

                 Applying the required formula :

Slope of the line = $\dfrac{-1-4}{2-(-3)}$

Slope of the line = $\dfrac{-5}{5}$

Slope of the line = - 1

Therefore, slope of the line passing through points ( - 3 , 4 ) and ( 2 , - 1 ) is - 1.