Equations of lines parallel to x-axis and y-axis | Linear Equations in two variables | Assessment | English | Grade 9

If the x-coordinate of a point is zero, then the point lies _________

• on x-axis

• on y-axis

• In first quadrant

• In third quadrant

Answer explanation

If the x-coordinate of a point is zero, then the point lies on y-axis. Because on y-axis the x-coordinate of each point is zero. Points on y-axis can be represented as (0,y).

Tags

CCSS.HSF.IF.A.1

The following options list 3 points each. Which one of them will give us a line parallel to the x-axis?

• (1, 5), (2, 5), (4, 5)

• (2, 1), (2, 3), (2, 7)

• (0, 0), (3, 2), (6 3)

• (2, 5), (4, 1), (6, 3)

Answer explanation

If we plot points given in option 1, we will get a straight line parallel to x-axis.

What is the equation of the line given on the graph?

• x = 8

• y = 8

• x + 1 = 8

• x = 2

Answer explanation

Since the line given in the graph is a straight line parallel to y-axis and intersecting x-axis at 8. The equation of the line is x = 8.

Give the geometric representation of 7x - 3 = 5x + 1 as an equation in two variables. Choose the correct option.

• 
• 
• 
• 

Answer explanation

7x - 3 = 5x + 1 7x - 5x = 1 + 3 2x = 4 x = 4/2 x = 2 We can express this as 1x + 0y - 2 = 0 Here, y is real number. We can represent this by below points x = 2, y = 0 x = 2, y = 1 x = 2, y = 2 Hence, option 1 is the correct answer.

In which quadrant the point (2, -3) point will lie?

• 1st quadrant

• 2nd quadrant

• 3rd quadrant

• 4th quadrant

Answer explanation

As in the fourth quadrant x is positive and y is negative.

Tags

CCSS.6.NS.C.6B

The following options list 3 points each. Which one of them will give us a line parallel to the y-axis?

• (1, -2) (2, -3) (4, -3)

• (-2, 6) (-3, 6) (-5, 6)

• (-2, 2) (-2, 4) (-2, 5)

• (0, 0) (-2, 1) (2, 3)

Answer explanation

If we plot points given in option 3, we will get straight line parallel to y-axis.