Graphing Systems of Linear Equations 6-1
If 2 lines are
graphed on the same coordinate plane, one of three things will happen
1.They will intersect exactly once—we say they are CONSISTENT and INDEPENDENT
2.They will NEVER intersect; they are parallel or have the same slope (m) but different y intercepts (b)—we say they are INCONSISTENT
3. They will intersect infinitely, everywhere; they are collinear or the same line. They have the SAME slope AND the SAME y intercept—
we say they are CONSISTENT and DEPENDENT
1.They will intersect exactly once—we say they are CONSISTENT and INDEPENDENT
2.They will NEVER intersect; they are parallel or have the same slope (m) but different y intercepts (b)—we say they are INCONSISTENT
3. They will intersect infinitely, everywhere; they are collinear or the same line. They have the SAME slope AND the SAME y intercept—
we say they are CONSISTENT and DEPENDENT
We graphed lines
and found the intersection point graphing by hand! (… and tried it on the
graphing calculators)
The intersection
coordinate is called the ‘SOLUTION OF THE SYSTEM’
You can check your
coordinates by plugging them into both equations and make sure they work—or using
the TABLE function on the calculator and see that for the same x, they both
have the same y value
