Equation of a Straight Line Parallel to a Straight Line

Q.

Find the equation of a line parallel to $x-2y+8=0$ and passing through the point $(1,2)$.

Q.

Find the equation of a line, which has the $y$-intercept $4$; and is parallel to the line $2x-3y-7=0$. Hence, find the co-ordinates of the point, where it cuts $x-axis$.

Q.

If the line
$(3x+14y+7)+k(5x+7y+6)=0$
is parallel to the y-axis, then the value of $k$ is

1. $\frac{1}{3}$
2. $\frac{-3}{5}$
3. $2$
4. $-2$

Q.

Equation of the line passing through (1, 2) and parallel to the line $y=3x–1$ is .

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

Q.

The equation of a line passing through the origin and perpendicular to the line
7x - 3y + 4 = 0 is:

1. 7x - 3y + 4 = 0

2. 3x + 7y = 0

3. 3x - 7y + 4 = 0

4. 7x - 3y = 0

Q. The equation of the straight line that has y - intercept of 5 units and is parallel to the straight line x - 3y = 3 is .

1. $3x-y+5=0$
2. $x-y+5=0$
3. $x-3y+15=0$
4. $2x-3y+12=0$

Q.

Find the equation of the line parallel to the line $3x+2y=8$ and passing through the point $(0,1)$.

1. 2x+3y-2=0

2. 3x+2y-2=0

3. 3x+2y-3=0

4. 3x+2y+3=0