Special Equations
The graph the equation 
is a
vertical line thru (a,0),
The graph the equation 
is a
,horizontal line thru (0,b)
Special Equations
Graph the equation y = 5
Graph the equation y = −2
Graph the equation x = 4
Graph the equation x = −7
Graph the equation y = −15
Graph the equation y =12
Graph the equation x = 14
Graph the equation x = −72
The Slope of A Line
The slope of a line is given by the ratio
The slope of the line containing the points
and 
is
given by
Find the slope of the line shown below.
Find the change in y and the change in x.
Find the change in and y the change in x.
Find the change in y and the change in x.
Find the change in y and the change in x.
Find the change in and y the change in x.
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Find the slope of the line thru
(3, 2) and (5,6 ).
Look at the graph of this line to see
that the 
is always 2 units.
Find the slope of the line thru
(2,3) and (6,5) .
Find the slopes of the lines thru
each of the ordered pairs .
(4,1) and (−2,−3)
(-2,4) and (6,−7)
(-10,3) and (−10,4)
(-1,3) and (−2,3)
Use your calculator to graph the following
equations using the standard window.
y = 0ยทx + 1
y = x +1
y = 2x +1
y = 3x +1
y = 4x +1
What effect does changing the value of m
in y = mx + 1 have on the graph of the
equation.
Use your calculator to graph the following
equations using the standard window.
y = −x +1
y = −2x +1
y = −3x +1
What does the graph of the line
y = mx + 1
look like if m is a negative value ?
Use your calculator to graph the following
equations using the standard window.
y = 2x + 0
y = 2x + 4
y = 2x −3
y = 2x −5
What effect does changing the value of b
in y = 2x + b have on the graph of the
equation.
The Slope- Intercept Equation
The equation y = mx + b is called
the slope- intercept equation .
The slope of the line is given by m.
The y-intercept is given by (0,b).
Find the slopes and y- intercepts of
each of the following :
Graph each of the following :
The Point-Slope Equation
Given the point 
and a slope m,
The point-slope equation of the line is given by
How do we get this equation?
Find the equation of the line thru
(3, 2) with slope 3.
y − 2 = 3( x −3)
y − 2 = 3x −9
y = 3x − 7
Find the point-slope equation of
the line thru (−2,1) with slope -2
the line thru (1,−1) with slope -5
the line thru 
with slope -1/2
Describe the graph of each equation.
y −1 = 2( x − 2)
y + 2 = −3( x +1)
Graph each equation.
