Line of Intersection Equations

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

What is the point of intersection of the lines represented by 3x-2y=6 and the y-axis ?

• 0,-3

• 0,3

• 3,0

• -3,0

If a pair of linear equations is consistent, then the lines will be 

•  parallel

• always coincident

• intersecting or coincident

•  always intersecting

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Where do these lines intersect?
x-y=11
2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

The lines 2x−y=8 and 4x−2y=16 intersect at (a)   .

• 2 points

• 1 point

• an infinite number of points

• They are parallel

What is the y-value of the point at which the graphs of the equations intersect?

• 2.5

• -1.5

• 1.5

• 3

Marc graphs the two equations below on the same coordinate plane.

y = 2x + 4

y = -x + 1

What is the x-coordinate of the point at which the graphs of the equations intersect?

Mathematical Equivalence

ON

Find the intersection of the lines y = 3x + 5 and y = –x + 1.

• (1, 1)

• (1, 2)

• (–1, 1)

• (–1, 2)

What is the y-value of the point at which the graphs of the equations intersect?

• 2.5

• -1.5

• 1.5

• 3