2.3 Quick Graphs of Linear Equations
EQUATION
1.) y = 2x + 3
2.) y = -x + 2
3.) y =
1
x–4
2
4.) y = -2x
5.) y = 7
POINTS
(0, ) (1,
(0, ) (1,
(0, ) (1,
)
)
)
SLOPE
m=
m=
m=
(0, ) (1,
(0, ) (1,
)
)
m=
m=
Y-INTERCEPT
The SLOPE INTERCEPT form of a line is __________________
where m is the ___________ and b is the _______________.
To create a quick graph using slope intercept form:
1.)
2.)
y = 2x + 3
y = -2x
y = -x + 2
y=7
Of the six graphs above, which of the six graphs is NOT a function ?
y=
1
x–4
2
x=-4
______________
2.3 Quick Graphs of Linear Equations
STANDARD FORM OF A LINE:
Ax + By = C
where A, B, and C are integers and A > 0.
Convert each of the above 5 equations into standard form
1.) y = 2x + 3
4.) y = -2x
2.) y = -x + 2
5.) y = 7
3.) y = 1 x – 4
2
What formula can you use to generalize the slope of a line if the equation is
given in standard form ?
m = ______
x and y intercepts
Find the x and y intercepts for each of the above equations using the
standard form of the line :
x-intercepts occur where ____________________________ and _________
y-intercepts occur where ____________________________ and _________
1.)
4.)
2.)
5.)
3.)
Check the graphs on page 1 to be sure that you have found the correct intercept.
2.3 Quick Graphs of Linear Equations
Find the slope and intercepts of each of the equations that are in standard form.
1.) 5x + 3y = -15
slope:______
y-intercept:___________
x-intercept:_______
2.) 5x – 2y =20
slope:______
y-intercept:___________
x-intercept:_______
Write the following equation in slope intercept form :
1
!2+ y = ! x
3
Slope-intercept form:______________________
Draw a quick graph based on the slope intercept form:
Write the equation in Standard Form:___________________________
Identify the following features of the above equation: x-intercept:__________________
y-intercept:__________________
slope:____________________
2.3 Quick Graphs of Linear Equations
Word Problems:
HOMEWORK: p. 86-87 #16-18, #25-51 odd, 59,60