Chapter P.2, Problem 1E

Solution

Estimate the coordinates of the points given in graph.

  $A\left(1,0\right),B\left(2,4\right),C\left(-3,-2\right),\text{ and }D\left(0,-2\right)$

Given information:

The given graph is:

  

Formula used:

1. In a graph both the axes are marked with bars with equal length.
2. The y coordinate of point on x -axis is 0.
3. The x coordinate of point on y -axis is 0.
4. The right side of x axis from the center is of positive points, and left is of negative.
5. The above side of y axis from the center is of positive points, and downward side is of negative.

Calculation:

To estimate the coordinates of points, A, B, C and D note that both the axes( x and y ) in graph are divided equally with bars.

Since the second bar in x axis is marked 2, i.e. first should be 1 and second is 2, third is 3, and so on, similarly for y axis second is marked 2, i.e. first should be 1 and second is 2, third is 3, and so on.

Since, point A is on x -axis, i.e. the y coordinate of point A is 0 and it is on first bar to the right(i.e. positive), i.e. it’s x coordinate is 1. Thus, the coordinate of point A is (1, 0).

Similarly, for point B note that:

  

This point is along 2 bar to the right hand side from center on x- axis and 4 bars to the upper side from the center on y- axis, and since each bar is of 1 unit i.e. it’s coordinate is (2, 4).

Similarly, for point C note that

  

Note that it is corresponding to the 3 bars to the left side of the x -axis from the center and 2 bars down from the center on y- axis, i.e. it’s coordinates are in negative and are:

  $\left(-3,-2\right)$

Now D is on y -axis thus it’s x coordinate of point on y -axis is 0, and it is 2 bars down from the center on y- axis, i.e. y-coordinate is negative.

Thus, coordinate of D is:

  $\left(0,-2\right)$

Thus, coordinates of given points are:

  $A\left(1,0\right),B\left(2,4\right),C\left(-3,-2\right),\text{ and }D\left(0,-2\right)$