# Equations Representing Parallel lines

## Trending Questions

**Q.**The path of a train A is given by the equation 3x + 4y − 12 = 0 and the path of another train B is given by the equation 6x + 8y − 48 = 0. Represent this situation graphically.

**Q.**Y-intercept of a line can not be negative.

- True
- False

**Q.**Draw the graphs of the following linear equations on the same graph paper:

2x + 3y = 12, x − y = 1

Find the coordinates of the vertices of the triangle formed by the two straight lines and the area bounded by these lines and x-axis.

**Q.**

Find the equation of a line parallel to the y-axis passing through the point P(4, -1).

y = -1

y = 4

x = -1

x = 4

**Q.**

at what points does the graph of the linear equation x+y=5 meet a line which is parallel to the y axis , at a distance 2 units from the origin and in positive direction of x axis.

**Q.**

The equation of the line shown in the figure is.

x = 1

y = 1

y = 0

x = 0

**Q.**The equation of line m is

- x=3
- y=3
- x-y=3
- x+y=3

**Q.**The equation of line parallel to y-axis is:

(a) x = 1

(b) x + y = 0

(c) y = 0

(d) y = 1

**Q.**

The graph of the equation of the form y=mx is a line which always passes through:

(0, y)

(x, 0)

(0, m)

(0, 0)

**Q.**Draw the graph of each of the equations given below. Also, find the coordinates of the points where the graph cuts the coordinate axes:

(i) 6x − 3y = 12

(ii) −x + 4y = 8

(iii) 2x + y = 6

(iv) 3x + 2y + 6 = 0

**Q.**Find the equation of a line parallel to the y-axis passing through the point P(4, -1).

**Q.**Find the equation of a line parallel to the y-axis passing through the point P(4, -1).

**Q.**Draw the graph of the equation y = 3x. From your graph, find the value of y when x = −2.

**Q.**

The graph given is represented by which of the following equations?

y = x - 1

x - 2y = 1

y = x

y = 2x + 1

**Q.**y − 4 = 0 is the equation of a line

(a) parallel to the x-axis and passing through (4, 0)

(b) parallel to the x-axis and passing through (0, 4)

(c) parallel to the y-axis and passing through (0, 4)

(d) None of these

**Q.**Fill in the blanks.

(i) For the line 4x + 3y = 12, x-intercept = ...... and y-intercept = ......

(ii) If x = 4, y = 3 is a solution of 2x + ky = 14, then k = ......

(iii) If the point P(p, 4) lies on the line 3x + y = 10, then p = ......

**Q.**Draw the graphs for the equations x + y = 6 and x − y = 2 on the same graph paper and find the coordinates of the point where the two straight lines intersect.

**Q.**Draw the graph of the equation x + 2y − 3 = 0. From your graph, find the value of y when x = 5.

**Q.**Line AB is parallel to Y-axis at a distance of 3 units to the left of it. Line PQ is parallel to X-axis at a distance of 4 units above it. Write the equations of the lines, draw the graphs and also write the point intersection of these two lines.

**Q.**The graph of the linear equation 2x + 5y = 10 is the line which meets the y-axis at the point

(a) (0, 2)

(b) (5, 0)

(c) $\left(\frac{1}{2},2\right)$

(d) (2, 1.2)

**Q.**

------------------- is the equation of y-axis.

x = 0

y = 1

y = -1

y = 0

**Q.**Lines x – y = 0, x + y = 0 and X-axis are concurrent at:

- A point in X-axis
- A point on Y-axis
- Origin
- Quadrant I

**Q.**Do the point $\mathrm{P}\left(\frac{3}{2},5\right)$ lie on the line x + y$=\frac{13}{2}$? If so, draw the graph and check it.

**Q.**Line CD is parallel to Y-axis and passing through the point A(−4, 3). Write the equation of line CD.

**Q.**

A line has equation x + y = 0

So the line must

Be parallel to y - axis

Be parallel to y - axis

Must pass through (1, 1)

Pass through the origin

**Q.**Write the equation of the line that is parallel to x-axis and passing through the point (2, -5). [1 Mark]

**Q.**√3x−y=2 and √6x−√2y=2 are

- coincident
- parallel
- intersecting

**Q.**Parallel lines have

- one solution
- no solution
- 4 solutions

**Q.**Draw the graph of the equation 2x + y = 6. Find the coordinates of the point, where the graph cuts the x-axis.

**Q.**Does the point M (2, 4) lie on the graph of x + y = 6? Verify your answer by drawing the graph.