Finding Intersection of Linear Equations

Anika and William are trying to find the x-coordinate of the intersection point of the paths they are walking on. Anika is walking on a path represented by the equation y = 2x + 1 and William is walking on a path represented by the equation y = -3x + 9. Can you help Evelyn figure out the x-coordinate of the point where they will meet?

• 2

• 3

• 4

• 8

Tags

CCSS.8.EE.C.8C

At which point do the graphs of 2x = y + 5 and 6x + 2y = -5 intersect?

• (2, -4)

• (-4, 1)

• (1/2, -4)

• (-3/2, -8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What are the coordinates of the intersection of the graph of these two equations shown below?

Tags

A.3F

What is the solution to the system containing the lines  y=x+8 and y=-3x?

• (-6,2)

• (2,6)

• (-2,6)

• (-2,-6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = 5x + 1
y = 3x + 13

• (6, 31)

• (31, 6)

• (4, 21)

• (2, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the intersection point of the lines y = 3x + 2 and y = -x + 6.

• (1, 5)

• (2, 8)

• (1, 3)

• (2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• 2.5

• -1.5

• 1.5

• 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = -2x + 18
y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Lines 2x+12=2y and y=4x−3 intersect on a standard (x,y)

coordinate plane. What is the y-coordinate of the point where the two lines intersect?

• 3

• 6

• 9

• -3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6