Snow Day Equations of Lines

What is the slope of line 2?

• -2

• 2

• -1/2

• 1/2

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Marco is observing the system of equations below and believes it will have exactly one solution. Is he correct? Why or why not?

• No, the slopes are the same and the y-intercepts are different, so there would be infinite solutions to the system of equations.

• No, the slopes are the same and the y-intercepts are different, so there would be no solution to the system of equations.

• Yes, the slopes are the same so they will intersect and have one solution.

• Yes, the y-intercepts are different so they will intersect and have one solution.

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

Write the equation of the line.

Mathematical Equivalence

ON

Angie and Evan spent the day at the Conroe Christmas, enjoying their favorite activities: Snow Hill and the carousel. Their tickets were stamped each time they rode. Angie rode the carousel twice while Evan rode three times. Evan also rode Snow Hill six times while Angie rode three times. By the end of the day, their total spending was recorded on their tickets as seen in the image. Let x represent the cost of riding Snow Hill and y represent the cost of riding the carousel, which system of equations represents the situation?

• 3x + 2y = 39

  6x + 3y = 21

• 2x + 3y = 21

  3x + 6y = 39

• 3x + 2y = 21

  6x + 3y = 39

• 3x - 2y = 21

  6x - 3y = 39

A system of linear equations is represented by line h and line j. A table representing some points on line h and a graph of line j are shown. Which system of equations is best representing lines h and j?

Tags

TEKS.MATH.A.5C

Which graph best represents a system of equations that has no solution? See image.

• A

• B

• C

• D

• y = 4x + 3
• y = 1/3x - 3
• y = 3x + 4
• y = -1/3x + 4