Find the equation of a line passing through (-4,3) and (1,2)

The answer to your question is:  

slope y-intercept      ( y - 2) = -1/5 (x - 1)

general equation       x + 5y - 11 = 0

Step-by-step explanation:

Data

A (-4, 3)

B (1, 2)

slope = m =

Process

                m =

                m =

               (y - y1) = m(x - x1)

               ( y - 2) = -1/5(x - 1)

              5(y - 2) = -1(x - 1)

              5y - 10 = -x + 1

              x + 5y - 11 = 0

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)