Sharp EL9900 manual Slope and Intercept of Linear Equations

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EL-9900 Graphing Calculator

Slope and Intercept of Linear Equations

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. We call this equation a linear equation since its graph is a straight line. Equations where the exponents on the x and y are 1 (implied) are considered linear equations. In graphing linear equations on the calculator, we will let the x variable be represented by the horizontal axis and let y be represented by the vertical axis.

Example

Draw graphs of two equations by changing the slope or the y- intercept.

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

2. Graph the equations y = x and y = 12 x.

3. Graph the equations y = x and y = - x.

4. Graph the equations y = x and y = x + 2.

 

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.

 

 

 

 

 

 

 

Step & Key Operation

Display

Notes

1-1Enter the equation y = x for Y1 and y = 2x for Y2.

Y=

X//T/n

ENTER 2

X//T/n

1-2View both graphs.

GRAPH

The equation Y1 = x is dis- played first, followed by the equation Y2 = 2x. Notice how Y2 becomes steeper or climbs faster. Increase the size of the slope (m>1) to make the line steeper.

2-1

Enter the equation y =

1

x for Y2.

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Y=

 

 

 

 

CL

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

a/b

2

 

 

 

X/ /T/n

2-2

View both graphs.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

GRAPH

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Notice how Y2 becomes less steep or climbs slower. De- crease the size of the slope (0<m<1) to make the line less steep.

3-1

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Contents EL-9900 Contents Always read Before Starting Read this firstIntroduction Using this HandbookExample Fractions and DecimalsBefore Pie Charts and ProportionsSlope and Intercept of Linear Equations 1Enter the equation y = x for Y2 Parallel and Perpendicular Lines 2View the graphs Slope and Intercept of Quadratic Equations 1Change the equation in Y2 to y = x 2+2 1Access the Solver feature This screen will appear a few 4Enter the values L=15,000, I=0.09, N=48 Access the Solver feature 200 15 π 10π1Access the Solver feature 5Solve for the height and enter a starting point Graphing Polynomials and Tracing to Find the Roots 1Move the tracer near the left-hand root = x 4 + x 3 5x 2 3x + Graphing Polynomials and Jumping to Find the RootsFind the next root Solving a System of Equations by Graphing or Tool Feature 1Access the Tool menu. Select the number of variables Entering and Multiplying Matrices 1Multiply the matrices a and B together at the home screen Solving a System of Linear Equations Using Matrices 2Calculate B-1C Solving Inequalities EL-9900 Graphing Calculator 2x 5 ≥ Solving Double Inequalities= 2x 5 = 2x 5 and y = 7 intersect at 6,7 2x + y ≥ + y ≤+ y ≤ + 2y ≤ 1 y ≤ +y ≥ 4 y ≥ 4 x + 2y ≤ 1 x 2 + y ≥Continuing key operations omitted If x ≥ Slope and Intercept of Absolute Value Functions3View the graph Solve an absolute value equation 5 4x = Solving Absolute Value Equations= 10, y = Solving Absolute Value Inequalities2nd F Calc 2 x = = 9.999999999 Note +3 1+3 Evaluating Absolute Value FunctionsMath Graphing Rational Functions + 1x Solving Rational Function Inequalities = y 2 + 2 = y = +√ x + Graphing ParabolasChange to parametric mode 2x + y+22 = Graphing CirclesGraph x 2 2x + y 2 + 4y = 2x + y 2 + 4y =For Y1 = Y1 2 for Y2, and y = -Y1 -2 for Graphing Ellipses View the graph Graphing Hyperbolas Zoom out the screen Key pad for the Sharp EL-9900 Calculator Key pad for the Sharp EL-9900 Calculator Sharp Graphing Calculator Step Sharp Corporation OSAKA, Japan