Introduction to Graphs

What is the abscissa of the point $(-5, -9)$?

The ordinate of the point $(7, -2)$ is:

If the $x$-coordinate of a point is negative and the $y$-coordinate is positive, the point lies in:

What is the $y$-coordinate of any point on the line shown in the diagram?

Based on the table, which graph represents the relationship between $x$ and $y$?

If a point $P(a, b)$ lies in Quadrant IV, which of the following is true?

The points $A(1,1)$, $B(2,2)$, and $C(3,3)$ are:

The graph of the function $y = x^2 - 4$ is plotted. At which points does the graph intersect the $x$-axis?

A line segment $MN$ has its midpoint at $(2, 3)$. If the coordinates of point $M$ are $(-1, 1)$, what are the coordinates of point $N$?

Three vertices of a rectangle are $O(0, 0)$, $A(a, 0)$, and $C(0, b)$. If the area of the rectangle is $24$ square units and $a = 6$, find the coordinates of the fourth vertex $B$.

From the graph, what is the value of y when $x = 4$?

What is the name of the vertical axis in a Cartesian coordinate system?

A point has coordinates $(5, 2)$. How many units is it away from the x-axis?

According to the graph, how much does the cost increase for every 1 kg of sugar?

The coordinates of three vertices of a rectangle are $(0,0)$, $(4,0)$, and $(0,3)$. What are the coordinates of the fourth vertex?

Looking at the graph of two runners, Runner A and Runner B, who is running faster?

What is the value of $x$ for which the line $y = 2x + 4$ crosses the x-axis?

The line graph tracks the number of visitors to a museum throughout a day. What is the ratio of the number of visitors at 12:00 PM to the number of visitors at 4:00 PM? (Use the 24-hour scale: 12 and 16).

A candle of length $20$ cm is lit. Its length decreases over time as shown in the line graph. How much of the candle (in cm) is consumed between the 2nd and 4th hour?

The graph shows the relationship between the Celsius ($C$) and Fahrenheit ($F$) scales. According to the graph, what is the temperature in Celsius when the temperature in Fahrenheit is $50^\circ$F?

At which point do the x-axis and y-axis intersect?

What is the linear equation represented by the horizontal line in the graph?

The distance of the point $(4, 7)$ from the x-axis is how many units?

Observe the line graph. What is the $y$-value corresponding to $x = 2$?

A person cycles at a constant speed of $15$ km/h. The graph shows the relationship between time ($x$ in hours) and distance ($y$ in km). Based on the linear relationship $y = 15x$, what is the distance covered by the person in $2.5$ hours?

A straight line passes through the points $(0, 2)$ and $(4, 10)$ on a Cartesian plane as shown in the graph. Find the equation of the line in terms of $y$ and $x$.

Which of these points is equidistant from both the x-axis and the y-axis?

The graph illustrates the cooling of a liquid over time. After how many minutes does the temperature reach 40°C?

A car travels at a uniform speed. The distance-time graph is a straight line passing through the origin. If the car covers 150 km in 3 hours, how far will it travel in 5.5 hours?

The graph shows the cost of printing books. There is a setup cost and a cost per book. If the total budget is Rs 1000, how many books can be printed?