Slope And Intercept Of Linear Equations - Sharp EL9600C - Graphing Calculator Handbook

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 =
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.
Start
Return all settings to the default value or to delete all data.
Step & Key Operation
(When using EL-9600)
*Use either pen touch or cursor to operate.
1
1
Enter the equation y = x for Y1
-
and y = 2x for Y2.
n
Y=
X/ /T/ ENTER
1
2
View both graphs.
-
GRAPH
2
1
-
Enter the equation y =
Y= CL
*
a /b
2
1
2
2
View both graphs.
-
GRAPH
1
2
(When using EL-9600)
n
2
X/ /T/
*
1
x for Y2.
2
n
X/ /T/
*
EL-9600/9400 Graphing Calculator
x.
Display
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.
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.
Notes
1-1