Linear Intersections

When you graph the exact same equation twice,

• you will have no intersections

• you will have one intersection

• you will have infinite intersections

Which point is in the yellow shaded area?

• (0, 7)

• (-4, 4)

• (1, 1)

• (-4, 3)

Identify the x-intercept of the following linear equation written in standard form.

-8x - 4y = 8

• (-1, 0)

• (0, -1)

• (-2, 0)

• (0, -2)

Give the y-interecept
3x + y = 5

• (-3, 0)

• (0,5)

• (5, 0)

• (0, -3)

Give the x-intercept
3x + 8y = 24

• (8, 0)

• (0, 8)

• (3, 0)

• (0, 3)

What is the x and y intercept for the following equation ?
4x - 10y = 20

• x - int = 4    
  y-int = -10

• x-int = 5
  y-int = 2

• x - int = 5
  y int = -2

• x -int = 4
  y -int = -10

Find where the two lines intersect.

(Use y= and 2nd Trace 5)
(y1): y = 2/3x - 2
(y2): y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Find where the two lines intersect.

(Use y= and 2nd Trace 5)

• (4, 7)

• (3, 5)

• (6, 7)

• (5, 3)

Name the x- and y-intercepts for the equation:
2x + y = 6

• (0, 3) and (6, 0)

• (0, -3) and (-6, 0)

• (3, 0) and (0, 6)

• (-3, 0) and (0, -6)

A method for solving a system of equations. The key step in using the ___________________ is to add both sides of two equations to eliminate one of the variables. For example, the two equations in the system below can be added together to get the simplified result 7x = 14.

• Systems of Equations

• Point of Intersection

• Elimination Method

• Solution