Graph Linear Equations in Two Variables

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

• Parallel lines

• the same line

• Intersecting lines

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

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

•  parallel

• always coincident

• intersecting or coincident

•  always intersecting

If a pair of linear equations is consistent then their graph lines will be_______

• Parallel

• Always coincident.

• Always intersecting.

• Intersecting or coincident.

The graphs of the equations 2x+3y-2=0 and x-2y-8=0 are two lines which are_______

• Coincident

• Parallel

• Intersecting exactly at one point

• Perpendicular to each other

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• Perpendicular lines

• coincident lines

The pair of equation x = – 4 and y = – 5 graphically represents lines which are

• intersecting at (-5, –4)

• intersecting at (-4, –5)

• intersecting at (5, 4)

• intersecting at (4, 5)

The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:

• (2, 0)

• (0, 3)

• (3, 0)

• (0, 2)

The graph of x = -2 is a line parallel to the

• x-axis

• y-axis

• both x-axis and y-axis

• none of these