Graphs of a Linear Equations

Q. The point (3, -2) lies on the line _____.

1. 2x + 3y = 0
2. 2x + 3y -4 = 0
3. x - 2y = 2
4. 3x + 2y = 0

Q.

The line $3x-2y=6$ cuts the y-axis at the point _____

1. $(0,3)$
2. $(2,0)$
3. $(0,-3)$
4. $(-2,0)$

Q. Which point lies on the line $2x-3y=0$?

1. Q
2. P
3. R
4. S

Q. If the point (2, 5) lies on the graph of 3y = ax + 7, then the value of a is _______

1. 2
2. 3
3. 4
4. 5

Q.

Two solutions of this equation 2x + y = 1 are

1. (0, 1) and (1/2, 0)

2. (2, 3) and (4, 5)

3. (2, 0) and (1, 2)

4. (0, 1) and (1, 0)

Q.

Which of these lines passes through the origin?

1. y = 3

2. x + y = 2

3. x = 0

4. y = 2x - 3

Q. Sketch the graph of the equation 3x + 5y = 15. Find the area of the figure formed by this line and the two axes.

Q.

The point (1, 2) lies on the line _____.

1. x + 2y = 5

2. 2x + y = 5

3. 4x – y = 5

4. 3x – 2y = 1

Q.

Give equations of two lines in the same plane which are intersecting at point(2, 3).

Q.

The graph of --------------- is a straight line parallel to y axis.

1. x = a

2. x + a = y

3. x = ay

4. x - a = y

Q.

If the line represented by the equation 3x + αy = 8 passes through the points (2, 2), then the value of α is

1. 4

2. 3

3. 0

4. 1

Q. Write two solutions for each of the following equations:

(i) 3x + 4y = 7

(ii) x = 6y

(iii) x + xy = 4

(iv) $\frac{2}{3}x-y=4$

Q.

Find the point where the line represented by the equation 5y – 3x – 10 = 0 cuts the y-axis.

Q.

Write the equation of x axis and y axis

Q. The graph of the line x+ y = 0 passes through the points:

1. (a, a)
2. (a, -a)
3. (-a, -a)
4. (-a, a)

Q. Which point lies on the line $x+y=0$?

1. P
2. Q
3. R
4. S

Q. Which of the following could represent the equation of a line passing through origin?

1. y = 5x + 1
2. y = 4x - 3
3. y = 2x
4. x + y =1

Q.

Which of the following graphs is incorrectly drawn?

1. A

2. B

3. C

4. D

Q. If the point (2, a ) lies on the line 2x + y = 5, then the value of a is ______

1. 1
2. $\frac{1}{2}$
3. 2
4. 3

Q.

Which of these points lies on 3x + 2y = 12?

1. (3, 2)

2. (2, 3)

3. (2, 2)

4. (3, 3)

Q. Draw a graph of the following equation using the same pair of axes:
1. y=3x+5
2. 3x-y=7

Q.

The graph of --------------- is a straight line parallel to X axis.

1. y = a

2. y = ax

3. y = a - x

4. y = a + x

Q.

Which of the following graph shows the equation y - x = 4?

1. 

2. 

3. 

4. 

Q. Which of the following points does not lie on the line x - 2y + 3 = 0?

1. (1, 2)
2. (-5, -1)
3. (5, 2)
4. (-7, -2)

Q. Which of the following points do not lie on the line 2x - y + 4 = 0?

1. (1, 6)
2. (2, 8)
3. (4, 10)
4. (3, 6)

Q. The point (1, 3) lies on the line _____.

1. x + 2y = 7
2. 2x + y = 6
3. 4x – y = 5
4. 3x – 2y = 1

Q. Write the equation of the line that is parallel to y-axis and passing through the point

(i) (4, 0)

(ii) (−2, 0)

(iii) (3, 5)

(iv) (−4, −3)

Q. Which of the following lines pass through the point (1, 1)?

1. 2x + 3y = 5
2. 3x - 2y = 2
3. x + y = 2
4. 2x - 3y = 0

Q.

Write the geometric representation of y=6 as an equation in one variable

Q. 66. Draw the graph of the line y = 5x and find the value of x when y = -5.