Parallel and Perpendicular Lines

EL-9650/9600c/9450/9400 Graphing Calculator

Parallel and perpendicular lines can be drawn by changing the slope of the linear equation and the y intercept. A linear equation of y in terms of x can be expressed by the slope- intercept form y = mx + b, where m is the slope and b is the y-intercept.

Parallel lines have an equal slope with different y-intercepts. Perpendicular lines have slopes that are negative reciprocals of each other (m = - m1 ). These characteristics can be verified by graphing these lines.

Example

Graph parallel lines and perpendicular lines.

1. Graph the equations y = 3x + 1 and y = 3x + 2.

2. Graph the equations y = 3x - 1 and y = - 31 x + 1.

Before There may be differences in the results of calculations and graph plotting depending on the setting. Starting Return all settings to the default value and delete all data.

Set the zoom to the decimal window:

ZOOM C * (

ENTER ALPHA

Step & Key Operation	Display	Notes
(When using EL-9650/9600c)	(When using EL-9650/9600c)
*Use either pen touch or cursor to operate.

1-1

1-2

2-1

Enter the equations y = 3x + 1 for Y1 and y = 3x + 2 for Y2.

Y=		3	X/ /T/n		+	1	ENTER	*
								*

3	X/ /T/n		+	2

View the graphs.

GRAPH

Enter the equations y = 3x - 1 for Y1 and y = - 31 x + 1 for Y2.

Y= CL 3 X//T/n — 1 ENTER *

CL		(-)	1	a/b	3		*	X/ /T/n
							*

+ 1

These lines have an equal slope but different y-intercepts. They are called parallel, and will not intersect.

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EL-9650, EL-9600c, EL-9400 specifications

The Sharp EL-9400 and EL-9450 are advanced programmable scientific calculators designed for professionals and students alike. Renowned for their versatile functionality and user-friendly interface, these calculators are popular in the fields of engineering, mathematics, and the sciences.

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With their advanced graphing capabilities, these calculators allow users to plot functions and analyze their behavior over a defined range. The graphing feature is user-friendly, offering options to zoom in and out, providing a better understanding of mathematical concepts and aiding in visualization.

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Overall, the Sharp EL-9400 and EL-9450 stand out as powerful tools for anyone needing a reliable computing resource. Their combination of programmable features, comprehensive function sets, and user-friendly design makes them invaluable assets for students and professionals engaged in advanced mathematics and scientific calculations. With these calculators, users are equipped to tackle challenges and explore complex mathematical concepts with confidence.

Sharp EL-9600c, EL-9400, EL-9650 manual Parallel and Perpendicular Lines

Models: EL-9650 EL-9600c EL-9400