Systems of Equations

The point in which intersecting lines meet will be known as the ___ to the linear system.

Complete each sentence:

1. 1. When two lines intersect there is ​ (a)   .

2. 2. When two lines never intersect there is ​ (b)   .

3. 3. When two lines overlap there is ​ (c)   .

• one solution

• no solution

• infinitely many solutions

• The slope is 2.

• The slope is 1.

• The slope is -2.

• The slope is 2x.

Answer explanation

Remember the slope is the value before "x".

• 8

• 2

• -8

• 3

• -3

• -2

• (2, 0)

• (1, 8)

• (2, 5)

• divide by 4

• multiply by 4

Parallel lines have the SAME SLOPE and different y-intercepts. So they have ​ (a)   .

• no solution

• one solution

• infinite solutions

• subtract by 3

• add by 3

Answer explanation

Remember: -4x and -3 are NOT like terms!

These equations have the SAME SLOPE and SAME Y-INTERCEPT. They are the same lines, just overlapping. So they have ​ (a)   .

• infinite solutions

• one solution

• no solution