Linear equations in two variables

The equation y = 3x + 5 has _____

• A unique solution 
• Only two solutions
• Three solutions 
• Infinitely many solutions 

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

• 4
• 5
• 6
• 2

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 the line x = 6 is a line___

• parallel to x -axis at a distance of 6 untis from origin
• parallel to y-axis at a distance of 6 units from the origin
• making an intercept 6 on the x-axis
• making an intercept 6 on both the axis

The point of the form (a , -a) always lies on the line____

• x = a
• y = - a
• y = x
• x + y = 0

The graph of ax + by + c = 0 is _____

• A straight line parallel to x - axis
• A straight line parallel to y - axis 
• A general straight line
• A line in the 2nd and 3rd quadrant

The reason that a degree one polynomial equation ax + by + c = 0 is called a linear equation is that

• It has infinitely many solution

• The geometrical representation is a straight line

• It has two variables

• Both a and b

Which equation represents the following graph?

• y = 3x + 2
• y = -2x + 3
• y = 2x + 3
• y = -3x + 2

Which is the graph of y=-x+2?

• A
• B
• C
• D

If in the equation x + 2y = 10, the value of y is 6, then the value of x will be

• -2

• 2

• 3

• -3