How to draw a straight line with slope k using the geometric sketchpad

You may encounter some difficulties when drawing a straight line with slope k in Geometry Sketchpad. To help you solve this problem, PHP editor Yuzai provides a step-by-step guide. The guide details the steps and includes clear examples to make it easy for you to get started. Read on to learn how to draw a line with slope k and master the power of Geometry Sketchpad.

Establish a coordinate system. The slope represents the degree of inclination of a straight line relative to the horizontal axis. As long as the straight line is constantly changing its angle so that its angle with the positive half-axis of the x-axis is constantly changing, the slope k can be determined to be uncertain. Click the [Drawing] menu in the upper menu bar, and select the [Define Coordinate System] command from its drop-down option to establish a coordinate system.

Draw circles and straight lines. Select the origin and unit point in turn, click the [Construction] menu on the upper menu bar, and select the [Draw a Circle with Center and Radius] command from its drop-down option to draw a circle as shown in the figure below. Mark the origin as point A and the unit point as point B. Use the [Point Tool] to pick any point C on the circle, and use the [Straight Line Tool] to draw a straight line l passing through points A and C, as shown in the figure below.

Measures the inclination angle of the straight line and the positive half-axis of the x-axis. Use the move tool to select points C, A, and B in sequence, click the [Measurement] menu in the upper menu bar, and select the [Angle] command from its drop-down option to get the angle of ∠CAB, as shown in the figure below.

Measure the coordinates of points A and C to calculate the value of slope k. Use the move tool to select point A, right-click the mouse and select the abscissa to measure the value of XA, and then right-click the mouse to select the ordinate to measure the value of YA. In the same way, the horizontal and vertical coordinates of point C can be obtained. Then execute the [Data]-[Calculate] command and calculate the value as shown in the pop-up dialog box, which is the value of the slope.

Right-click the calculated value, select [Properties], and modify it in the pop-up dialog box

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