Chapter 7Determine the

Relationship of aSystem of Equations

1/4/2009Algebra 2 (DM)

Medina 2

Determining the Relationship of a System of Equations

Step 1: Re-write the both equation in slope-intercept form. (Solve for y)

Step 2: Find the m & b

Step 3: Compare the slopes and y-intercepts to determine if the lines are parallel, perpendicular, coinciding, or intersecting

Medina 3

Parallel, Perpendicular, Coinciding & Intersecting Lines

Parallel Perpendicular

m =same

b =

m =

b =different different

Opposite sign & reciprocal

Coinciding

m =same

b =same

Intersecting

m =different

b =different

1 SolutionNo Solution Infinite

Solutions1 Solution

(x, y) (x, y)

different