The terms can also refer to the horizontal and vertical axes respectively (typically x-axis and y–axis) of a two-dimensional graph. Usually these are the horizontal and vertical coordinates of a point in a two-dimensional rectangular Cartesian coordinate system. The ordinate of a point is the signed measure of its projection on the secondary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before: negative after: positive). So the straight line of the equation y = 2x + 6 meets the y-axis at (0,6).The abscissa of a point is the signed measure of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before: negative after: positive). in the most comprehensive dictionary definitions resource on the web. 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. Information and translations of abscissa. 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.
#Definition abscissa how to#
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. Representing a Linear Equation on X- and Y-AxisĪn axis in mathematics is defined as a line that is used to make or mark measurements.
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