# Solutions of Linear Equation in 2 Variables on a Graph

## Trending Questions

**Q.**

**Question 6**

The given figure shows the distance-time graph of three objects A, B and C. Study the graph and answer the following questions:

(a) Which of the three is travelling the fastest?

(b) Are all three ever at the same point on the road?

(c) How far has C travelled when B passes A?

(d) How far has B travelled by the time it passes C?

**Q.**

Draw the graphs of the lines x - y = 1 and 2x + y = 8. Shade the area formed by these two lines and the y - axis. Also, find this area.

**Q.**

Draw the graph of the equation 2x + 3y = 12. From the graph, find the coordinates of the point:

(i) whose y-coordinates is 3. (ii) whose x-coordinate is - 3.

**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 y-axis. Also, find the area of the triangle.

**Q.**

Draw the graph of the equation 2x + y = 6. Shade the region bounded by the graph and the coordinate axes. Also, find the area of the shaded region.

**Q.**Draw the graphs of the lines 2x + y = 6 and 2x - y + 2 = 0. Shade the region bounded by these lines and the x - axis. Find the area of the shaded region.

**Q.**Draw the graph of two lines, whose equations are 3x − 2y + 6 = 0 and x + 2y − 6 = 0 on the same graph paper. Find the area of triangle formed by the two lines and x-axis.

**Q.**

Draw the graph for each of 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 x3+y4=1. Also, find the area of the triangle formed by the line and the coordinates axes.

**Q.**

Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From the graph, find the distance travelled by Aarushi in

(i) 212 Hours (ii) 12 Hour

**Q.**Draw the graphs of the linear equations 4x − 3y + 4 = 0 and 4x + 3y −20 = 0. Find the area bounded by these lines and x-axis.

**Q.**

Which of the following graphs will always pass through origin?

y = x

x = 2y + 4

x = 1

y = x + 3

**Q.**

Solutions of the equation 2x + 5y = 0 is:

-3, 2

0, 0

0, 4

3, 0

**Q.**

Point A $\left(4,1\right)$ lies on a line:

$x+2y=5$

$x+2y=6$

$x+2y=16$

$x+2y=-6$

**Q.**The graph of equation 5x-3y=10 cuts the x axis at the point:

A (0, -10/3)

B (-2, 0)

C (2, 0)

D (0, 0)

**Q.**

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

True

False

**Q.**

Draw the graphs of the lines 2x + y = 6 and 2x - y + 2 = 0. Shade the region bounded by these lines and the x - axis. Find the area of the shaded region.

**Q.**

The point lying on the equation 2x - y = 5 is:

(-3, 1)

(6, 1)

(3, 4)

(2, -1)

**Q.**If the points (0, 1) and (1, 0) lie on the graph of the equation y=mx+c, then find the values of m and c.

**Q.**

Find the point at which the line represented by the equation 6x+5y=9, intersects the x-axis.

(1, 0)

(0, 32)

(32, 0)

(2, 3)

**Q.**

**Question 19**

The point of the term (a, -a) always lies on the line:

A) x = a

B) y = -a

C) y = x

D) x + y = 0

**Q.**The graph of the line y = 2 passes through the point

(a) (2, 0)

(b) (2, 3)

(c) (5, 2)

(d) None of these

**Q.**The following tables gives the quantity of rice and its cost.

Quantity of rice (in kg) | 4 | 6 | 8 | 10 |

Cost of rice in ₹ | 200 | 300 | 400 | 500 |

- ₹700
- ₹600
- ₹800
- ₹750

**Q.**The value of 'p', for which the point (p, 2) lies on the line 3x + y = 11 is ____.

- 2
- 3
- 9
- 1

**Q.**Find the value of a & b if the line 6bx + at = 24 passes through point (2, 0)& (0, 2)

**Q.**

The x and y intercepts of the line 2y = 3x

**Q.**The linear equation 5x+12y=48 cuts the x-axis at

- (0, 4)
- (4, 0)
- (0, 485)
- (485, 0)

**Q.**

Give the geometric representations of 2*x* + 9 = 0 as an equation

(1) in one variable

(2) in two variables

**Q.**

In the given graph, the sum of the x co-ordinate and y co-ordinate of the point is _____ .

2

- 3
- 4
- 5

**Q.**

A point on the line x + y = 0 can be represented as (a, -a).

True

False