Intersecting Linear Equations

The two lines graphed on the coordinate grid represents a system of equations. Which ordered pair is the solution of the system of equations?

• (5,4)

• (0, -5)

• (8,3)

• (4,5)

The two lines graphed on the coordinate grid represents a system of equations. Which y-coordinate of the ordered pair best represents a solution to both equations?

(a)  

• -4

• 2

• 1

• 6

The two lines graphed on the coordinate grid represent a system of equations. Which ordered pair is the solution of the system of equations?

• (-4, 0)

• (-3, 3)

• (3, -3)

• (0, 4)

The two lines graphed on the coordinate grid represents a system of equations. Which is the x-coordinate of the ordered pair that best represents a solution to both 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

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

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

• 2.5

• -1.5

• 1.5

• 3

Solve:
y=8x+1
y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

y = -2x + 18
y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

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)