General Form of a Linear Equation in Two Variables

Q. What should be the standard form of the following equation?
$\frac{(5x+y)}{7}=2$

1. $\frac{5x}{7}+y-7=0$
2. $5x+y=7$
3. $5x+y-2=0$
4. $5x+y-14=0$

Q.

What is the value of c when the equation $2y=5x+7$ is written in the standard form $ax+by+c=0?$

1. - $\frac{7}{2}$

2. 1

3. 6 or -6

4. 7 or -7

Q.

If $3x=2y-2$ is written in the standard form $ax+by+c=0$, what will be the possible values of $a,b$ and $c$?

1. a = 1, b = -2 and c = 2

2. a = 3, b = -2 and c = 2

3. a = -3, b = -2 and c = 1

4. a = -3, b = 2 and c = -2

Q.

The conditions for $ax+by+c=0$ to be a linear equation in two variables $(x,y)$ are

1. b can be 0 but not a

2. $a\ne 0andb\ne 0$

3. a =0 and b = 0

4. a can be zero but not b

Q.

Lines perpendicular to $xaxis$ are represented by $x=\pm k$

1. False

2. True

Q.

If the linear equation $y=7x-4$ is written in standard form, the standard form being $ax+by+c=0,$ then what are the possible value of $a,b,c$?

1. none of these

2. -7, 1, 4

3. -7, -1, -4

4. 7, -1, 4

Q.

Lines parallel to $xaxis$ are represented by $x=\pm k$

1. True

2. False

Q.

The line represented by the equation $4x+5y=10$ intersects the $yaxis$ at (0, 2).

1. (2, 0)

2. (0, 2)

Q.

If y = $\frac{1}{2}$ (3x+7) is rewritten in the form $ax+by+c=0$, what are the values of a, b and c?

1. 7, 2, 3

2. -3, 2, -7

3. , ,

4. -2, 3, -7

Q.

Which of the following equations is written in standard form?

1. y = 2x + 3

2. 2x + 3y - 6 = 0

3. 2x = 3y - 7

4. y + 7 = x