Graphing Two-Variable Linear Equations

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

•  parallel

• always coincident

• intersecting or coincident

•  always intersecting

If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is 

• –5/4

• 2/ 5 

• 15/4

• 3/2

The pair of equations x = a and y = b graphically represents lines which are  

• parallel 

•  intersecting at (b, a)

•  coincident

•  intersecting at (a, b)

For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?

• 1/2

• −1/2

• 2

• −2

The equations 4x + 3y – 1 = 5 and 12x + 9y = 15 represent 

• No  solution

• Infinite many solution

• Unique solution

The equations 4x + 3y = 5 and 12x + 9y = 15 represent 

• No  solution

• Infinite many solution

• Unique solution

Which equation represents the following graph?

• y = 3x + 2

• y = -2x + 3

• y = 2x + 3

• y = -3x + 2

The graph of linear equation x + y = 2, cuts the y-axis at:

• a. (2,0)

• b. (0,2)

• c. (0,1)

• d. (1,1)

Equation of the line parallel to x-axis and 6 units above the origin is:

• a) x = 6

• b) x = –6

• c)y = 6

• d)y = –6

The graph of which of the following equations passes through the origin?

• (i) y = 2x + c

• (ii) y = 2x – c

• (iii) y = 2x