![]() See the figure given below and complete the following statements:ġ. The distance from the pole is called the radial distance or simply radius and the angular coordinate, polar angle.Ĭonsider the figure below that shows the relationship between polar and cartesian coordinates. Thus, a point in the polar coordinate system is represented as a pair of coordinates \((r,\,\theta )\). The point will have a unique distance from the origin \(r\). The angle \(\theta \) with the polar axis has a single line through the pole measured anti-clockwise from the axis to the line. Basically, we have two parameters, namely angle and radius. ![]() The polar coordinate system is a different way to express points in a plane. The \(y\)-coordinate of a point is its perpendicular distance from the \(X\)-axis measured along the \(Y\)-axis, and it is known as ordinate. So the straight line of the equation y = 2x 6 meets the y-axis at (0,6).The \(x\)-coordinate of a point is its perpendicular distance from the \(Y\)-axis measured along the \(X\)-axis, and it is known as abscissa. Therefore, we can find the intersection point of y-axis and y = 2x 6 by simply putting the value of x as 0 and finding the value of y. y = 2(0) 6 = 0 6 = 6. Question 3: For a linear equation y = 2x 6, find the point where the straight line meets y-axis on the graph.Īnswer: On y-axis, the x-coordinate of the point is 0. After extending the straight line, we see that this line intersects the x-axis at point (5,0). Now, we can join both points with a straight line when we have plotted both points. Also, find out the point where the straight line going through these points meets the x-axis.Īnswer: For (3,2), as we can see, the x-coordinate point is 3, and the y-coordinate point is 2. If the given points are (3,2) and (2,3), then plot these two points on the X- and Y-axis. Question 2: Two different points are to be plotted on a graph. (0, 1) (4, 0) (7, 7) (−5, 0) (−4, 4) (0, −5) (8, 0) (6, 0)Īnswer: Since the coordinates lying on x-axis have their y coordinate zero (0), the following points will lie on x-axis: Question 1: Which of the following points lie on the x-axis? The next step is to plot these ordered pairs on the coordinate plane graph.Īs a final step, we will join these points to form a straight line and that will be the representation of the equation y = x 1. Now, let’s build a table to represent the corresponding values of y for different values of x and create their ordered pairs: x Let us consider a linear equation, y = x 1. To understand how to represent a linear equation on the graph using the X- and Y-axis, Representing a Linear Equation on X- and Y-Axis Now, the y-coordinate of B(3,4) is 4, so we will go 4 spaces up from this point.Īnd thus we have plotted our point B(3,4) on the graph using the axes. So we will start from the origin and move 3 units to the right on x-axis. Let us learn how to plot a point on the graph by using the X- and Y-axis.įor example: Let’s try to plot the point B(3,4) on the graph. The origin is where the two axes intersect and is written as (0,0). Here, x represents the location of the point with respect to the x-axis and y represents the location of the point with respect to the y-axis. ![]() The x-axis is also called the abscissa and the y-axis is called the ordinate.Īny point on the coordinate plane can be located or represented using these two axes in the form of an ordered pair of the form ( x,y). These two axes intersect perpendicularly to form the coordinate plane. The x-axis is a horizontal number line and the y-axis is a vertical number line. The x and y-axis are two important lines of the coordinate plane. ![]()
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