Question

Study the given graph and complete the table below.

\[x\]	1	2	3	4
\[y\]

Answer 1

Hint: The 2-D graph has two axes \[x - axis\] and \[y - axis\] . The Coordinate of a point is denoted by the respective values of \[x - axis\] and \[y - axis\] . We will fit this given graph in grids and then find out the respective value of y-coordinate for given x-coordinate. Line segment of the graph is called slope of the graph.

Complete step by step solution:
With the above graph, we have to observe it in grids and then find out the respective values of y- coordinate for given x-coordinate.
The coordinate of a graph is represented in the form of \[\left( {x,y} \right)\] where x represents the value of x-coordinate at that point and y represents the y-coordinate of the point.
Basically the y-coordinate of a point represents the distance of that point from the \[x - axis\] and so as x-coordinate represents the distance of the point from \[y - axis\] .
We have the following given grid form of the graph to study the same.
Here with respect to the x-coordinates \[1,{\text{ }}2,3{\text{ }}and{\text{ }}4\] we have the following respective coordinates of the point in the graph:
 \[\left( {1,4} \right)\] , \[\left( {2,6} \right)\] , \[\left( {3,8} \right)\] and \[\left( {4,10} \right)\]

And as we now know the values of all known coordinates so we conclude that
Value of y-coordinate is \[4\] when \[x\] is \[1\]
Value of y-coordinate is \[6\] when \[x\] is \[2\]
Value of y-coordinate is \[8\] when \[x\] is \[3\]
Value of y-coordinate is \[10\] when \[x\] is \[4\]
So we have the required result in the tabular form as follows.

\[x\]	\[1\]	\[2\]	\[3\]	\[4\]
\[y\]	\[4\]	\[6\]	\[8\]	\[10\]

Note: The slope of the graph is also represented by an equation in two variables. The straight line graph represents that the ratio of x-coordinate and y coordinate is the same throughout the graph. The negative of the ratio of y-coordinate to x-coordinate is called slope of the graph. The graph must be observed precisely to get the accurate result.