Slope And Intercept Of Linear Equations - Sharp EL-9900 Handbook Vol. 1 Operation Manual

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.
Starting
Return all settings to the default value and delete all data.
Step & Key Operation
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
x.
2
n
2
X/ /T/
1
x for Y2.
2
n
X/ /T/
EL-9900 Graphing Calculator
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
3-1