Graphical representation of a linear equation in 2 variables

Q.

Which is a linear equation?

1. ${\text{xy}}^{\text{2}}\text{+2 = 4}$

2. ${\text{y}}^{\text{2}}\text{-4 = 15}$

3. $\text{2x + 12 = x- 5}$

4. ${\text{y}}^{\text{3}}\text{+ 7 = 4y}$

Q.

The line x + y = 3 lies closer to the origin as compared to the line x + y = 5 when plotted on the cartesian plane.

1. False

2. True

Q.

The graph of the linear equation 3x - 2y = 6 cuts the y-axis at the point (0, 3).

1. (0, 3)

2. (2, 0)

Q.

Any point (a, b) is a solution of the linear equation if the point satisfies the given equation.

1. True

2. False

Q. The graph of linear equation in two variables always represents

1. Curve
2. Straight line
3. Curve and straight line
4. None of these

Q.

If the point (3, 5) lies on the graph of the equation 3y = ax + 9, the value of a is

___

.

Q.

The geometrical representation of a linear equation is a

1. Straight line

2. curve

3. circle

4. parabola

Q.

What will be the linear equation for the given graph?

1. x=2y

2. y=2x+5

3. y=2x+3

4. 2y=x+1

Q. For the linear equation in two variables: ax + by = c, the positive solutions lie in the ______ quadrant.

1. 1st
2. 3rd
3. 4th
4. 2nd

Q.

The graphical representation of Linear equation is

1. Curve

2. Straight line

3. Parabola

4. Both A and C

Q. The equation $y=mx$ represents ___ ;
where, $(m\ne 0)$.

1. a line parallel to x-axis
2. a line parallel to y-axis
3. a line passing through the origin
4. a line cutting x-axis at the point $(m,0)$

Q.

If the point (3, 5) lies on the graph of the equation 3y = ax + 9, the value of a is

___

.

Q. Choose the option which describes the equation of the line shown in the graph.

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

Q.

What is the value of y in x + y = 6 and x - y = 4.

1. Up

2. Down

3. Right

4. Left