Find the equations of the lines through the following pairs of points, in slope intercept form.

Question

(1) Find the equation of the line through (1,1),(−3,2).
y =

(2) Find the equation of the line through (5,−1),(6,3).

y=

Answer 1

(1)  Find the slope.  m=(2-1)/(-3-1)= -1/4

 

      Now, use the point-slope form:  y-y₁=m(x-x₁)

                                                         y-1= -1/4(x-1)

                                                         y= -x/4+5/4

 

(2)  Same procedure.