Line Parallel to the Coordinate Axes

Q.

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

1. $y=2x+c$

2. $y=2x-c$

3. $y=2x$

Q.

Write down the equation of $x-\mathrm{axis}$ ?

Q.

Which of the following equations represents a line parallel to x – axis?

1. 3x + 2 = 0

2. 3y + 2 = 0

3. 3x + 2y = 0

4. 3x - 2y = 0

Q. Which of the following is represented by the equation y = 0?

1. x-axis
2. y-axis
3. A line parallel to x-axis.
4. A line parallel to y-axis.

Q. Which of the following is represented by the equation x = 0?

1. y-axis
2. x-axis
3. A line parallel to y-axis.
4. A line parallel to x-axis.

Q.

Write the equation of $y-$axis.

Q.

Write the equation representing $y-$axis.

Q. Which of the following equations represents a line parallel to the y-axis?

1. y = 10
2. x = 5
3. y = -8
4. x = -2

Q. Which of the following equations represents a line parallel to the x-axis?

1. x = 2
2. x = -12
3. y = 10
4. y = -8

Q. The equation of line m is ___?

1. x = 3
2. y = 3
3. y = 3x
4. x = y + 3

Q.

An equation of the type ------------- represents a line passing through the origin.

1. x = m - y

2. y = m + x + 1

3. y = mx

4. y = m + x

Q.

On the coordinate axes: [3 MARKS]

(a) Draw a rectangle ABCD, such that its vertices are (4, 3), (4, -2), (-2, -2) and (-2, 3) respectively.
(b) Draw the graph of the equation y=5.

Q.

Choose the correct option:

If a straight-line pass through (0, 0) and (1, 5), then its equation is ______________.

A. y = x

B. y = 5x

C. 5y = x

D. y = x + 5

Q.

Two lines have the equation: y + 2x = 14 and 3x = 2y. Find whether the two lines intersect or not. If they do, find the point of intersection.
[4 MARKS]

Q. The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0) then what is the distance of point B from the origin?

1. 3 units
2. 4 units
3. 2 units
4. -2 units

Q.

The linear equation $x=k$, where $k$ is any constant is parallel to the:

Q.

Determine the equation of the line in each of the following graphs:

Q.

Choose the correct option:

The equation of the line which passes through (0, 0) and (1, 1) is ______________.

A. y = x

B. y = − x

C. y = 1

D. x = 1

Q. How do you write equations for the vertical and horizontal lines passing through the point (8, -7)?

Q.

Is "4a + 3b = 3b + 6" a linear equation.

Give reasons for the same.

Q. The equation of X-axis is $x=0.$

1. False
2. True

Q. (a) Draw the graph of the function y = 3x.
(b) From the graph, find the value of y, when
(i) x = 3
(ii) x = 5
(iii) x = 6

Q. If $a=0$ in the equation $ax+by+c=0,$ then the line represented by the equation is parallel to Y-axis.

1. True
2. False

Q.

What would be the graphical representation of the pair of linear equation 3x - 5y = -9 and 6x - 10y = -8

1. intersecting lines

2. none

3. coincident lines

4. parallel lines

Q. The equation of Y-axis is $y=0.$

1. False
2. True

Q. Which of the following is represented by the equation y = 0?

1. x-axis
2. y-axis
3. A line parallel to x-axis.
4. A line parallel to y-axis.

Q.

Write the equation of $x-axis.$

Q. Solve the following systems of equations graphically:

x + y = 4
2x − 3y = 3

Q. Find the equations of the straight lines which pass through (4, 3) and are respectively parallel and perpendicular to the x-axis.

Q.

Write the equation of $y-axis.$