Plotting Linear Graphs for Given Values

Q. A library charges ₹ 5 for issuing a book for one day and ₹ 1 per day thereafter. If Ritu had taken a book for 5 days, then find the total amount that is needed to be paid.

1. 9
2. 2
3. 3
4. 5

Q.

Which graph is suitable for a continuous distribution?

__

Q. Plot the following points on the a coordinate plane:
(-7, 0), (0, 7), (7, 14), (14, 21).
Find the linear pattern from the graph.

1. y = 2x + 7
2. x = y + 7
3. y = x + 7
4. y = x - 7

Q.

Point (2, 1) lie on the line x-2y =0.

1. No

2. Yes

Q. Plot the following points on the a coordinate plane:
(5, 0), (10, 5), (15, 10), (20, 15), (25, 20).
Find the linear pattern from the graph.

1. y = x + 5
2. x = y + 10
3. x = 5y
4. x = y + 5

Q. Draw straight lines by joining the points P(-3, -3) and Q(3, 6), M(-2, 10) and N(6, -3); also find the point of intersection.

1. (-2, 4)
2. (4, 2)
3. (2, 3)
4. S(2, 4)

Q. Which of the following is correct, if the point (x, y) lies in the second quadrant?

1. x > 0 and y < 0
2. x > 0 and y < 0
3. x < 0 and y > 0
4. x = 0 and y = 0

Q.

From the graph, what is the value of the dependent variable when the value of independent variable is 350?

1. 1725

2. 1775

3. 1525

4. 1750

Q. A pea plant grows $0.5$ inches per day. After $6$ days, the height of the pea plant is $12$ inches.
The given graph shows the height of the pea plant $\left(h\right)$ recorded over a number of days $\left(d\right).$
Write the equation for the given graph.

1. $y=0.5x+9$
2. $y=9x+0.5$
3. $2y=9y+0.5$
4. $2y=0.5x+9$

Q.

Fill in the blanks:

(a) The y-coordinate of a point on the x-axis is ____________.

(b) The x-axis coordinate is called as ____________.

(c) The x-axis and y-axis intersect at ____________.

(d) If a point (x, y) ≠ (0, 0) is in the third quadrant, then x + y has _____________ sign.

(e) If a point (x, y) lies above horizontal axis, then y is always _____________.

(f) The point of intersection of x = y and x = − y is ____________.

(g) The line y = 4x + 5 intersects y-axis at the point ____________.

Q.

Can You Graph Complex Numbers?

Q.

Does (2, 1) lie on the line x-2y =0?

1. Yes

2. Cannot be determined

3. No

4. Maybe

Q.

Arjun sits on the seat which is shaded in the picture. Which of the options give the most accurate location of Arjun in the class?

1. He sits on the seat which is in Row 2

2. He sits on the seat which is in Row 2 and Column 5

3. He sits on the seat which is in Column 5

4. He sits on one of the seats in the class

Q. A relation is given below between $x$ and $y.$


Which of the following statements is correct about the graph?

1. By removing the point $(0,5),$ the above relation will be a function.
2. Above relation is not a function, because $-10$ is the output for the input $-3$ and $-2.$
3. Above relation is a function, because $1$ and $5$ are the two outputs for the input $0.$
4. By removing the point $(-2,-10),$ the above relation will be a function.

Q. Draw straight lines by joining the points P(-4, 6) and Q(7, -6), R(-6, -2) and S(1, 8); also find the point of intersection.

1. (2, -4)
2. (-2, 4)
3. (-4, 2)
4. (2, 4)

Q. Question 69(ii)
The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions.


What information does the graph give?

Q. Question 81(i)

As part of his science project, Prithvi was supposed to record the temperature every hour on Saturday from 6 AM to midnight. At noon, he was taking lunch and forgot to record the temperature. At 8:00 PM, his favourite show came on and so forgot again. He recorded the data so collected on a graph sheet as shown below.



Why does it make sense to connect the points in the situation?

Q.

Plot the following points and check whether they are collinear or not:

$(1,3),(-1,-1),(-2,-3)$

Q.

Choose the correct option:

The point (4, 0) lie on the line _____________

A. y − x = 0

B. y = 0

C. x = 0

D. y + x = 0

Q. Find the intercepts cut off by the line $x-3y+\sqrt{3}=0$ on the axes.

Q. Draw straight lines by joining the points P(-3, -3) and Q(3, 6), M(-2, 10) and N(6, -3); also find the point of intersection.

1. (-2, 4)
2. (4, 2)
3. (2, 3)
4. S(2, 4)

Q. What kind of a graph is this?

1. Line graph
2. Linear graph
3. Histogram
4. Bar Graph

Q. If the points $A(0,-1,-3),B(1,p,q)$ and $C(-2,6,3)$ are collinear, find the values of $p$ and $q$

Q. Question 69(iv)
The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions.



How many people enter the shop when it opens?

Q. The graph of simple interest versus time is linear.

1. False
2. True

Q. The equation y = 4x forms

1. A straight line passing through origin
2. A stright line paralell to y axis
3. A straight parallel to x axis
4. A curve

Q. The point Q$(-3,-2)$ lies on a line parallel to the Y axis . Write the equation of the line and below its graph .

Q. The given graph shows the earnings of manager A.The earnings of manager B is given by the equation $y=15x+50,$ where $x$ represents the working time (hr) and $y$ represents the amount of money $\left(\$\right).$


If the bonus amount received by them is represented by the y-intercept for each, then choose the correct statement.

1. Manager A received more bonus than manager B.
2. Neither of them have received any bonus amount.
3. Manager B received more bonus than manager A.
4. Both managers received a bonus of $\$30.$

Q. Find the equation of an ellipse whose axes lie along coordinate axes and which passes through (4, 3) and (−1, 4).

Q. Draw straight lines by joining the points P(-3, -3) and Q(3, 6), M(-2, 10) and N(6, -3); also find the point of intersection.

1. S(2, 4)
2. (-2, 4)
3. (4, 2)
4. (2, 3)