Equation of a Line Parallel to a Straight Line

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. −2

2. 2

3. −3/5

4. 1/3

Q.

Find the equation of a straight line whose y intercept is $-4$ and is parallel to the line joining the points $(3,-2)$ and $(1,4)$.

1. x + 3y + 4 = 0

2. 3x + y - 3 = 0

3. x + 3y - 3 = 0

4. 3x + y + 4 = 0

Q. If two lines having slopes $m_1$ and $m_2$ are parallel to each other, then which of the following is correct?

1. $m_1=m_2$
2. $m_1=3\times m_2$
3. $m_1\times m_2=1$
4. $\frac{m_1}{m_2}=2$

Q.

A line passing through point ($\frac{1}{2},\frac{9}{4}$), has y-intercept of 3. Find the x-intercept of the line.

1. Insufficient data

2. Not definite

3. 0

4. 1

Q.

If the slopes of two lines are equal, then the lines are __ to each other.

Q. Find the value of $y$ if the line passing through the points $(3,y)$ and $(2,7)$ is parallel to the line passing through the points $(-1,4)$ and $(0,6)$.

1. 9

2. -9

3. 6

4. -6

Q.

Find the value of $x$ if the line passing through $(x,-3)$ and (-5, 1) is parallel to the line joining (7, -1) and (0, 3).

1. -2

2. 3

3. -3

4. 2

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

Q.

The slope of the side BC of a rectangule ABCD is 2. Slope of the side AD is ____

1. -3

2. -2

3. 3

4. 2

Q.

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

1. $y+2=x+1$
2. $y+2=3(x+1)$
3. $y–2=3(x–1)$
4. $y–2=x–1$