27.01 Identifying Polynomials and Their Degree

1
Determine if the following ordered pair is a
solution to the given system.
1)
( 1 , 5 ) x y 4
x y 6
Yes
2)
( 4 , 1 ) 4x 3y 12
2x 3y 5
No
3)
( 0 , 6 ) 2x y 6
2x 2y 12
Yes
2
9.02 Graphing Linear Equations
3
Recall that an linear equation may be graphed
using its slope and y intercept.
Graph the y intercept, use the slope to find
another point on the line, then draw a line
through the two points.
Recall that an linear equation may also be
graphed using its x and y intercepts.
Find the x and y intercepts, graph the two
intercepts, then draw a line through these two
points.
4
Graph y
x 3
The y intercept is ( 0 , 3 )
The slope
Graph the y intercept first then use the slope to
find a second point.
5
Graph y 3x 2
The slope is 3
The y intercept is ( 0 , 2 )
Graph the y intercept first then use the slope to
find a second point.
6
Graph 2x 3y 6
x - intercept
y - intercept
Set y 0 and solve for x
Set x 0 and solve for y
2x 3(0) 6
2(0) 3y 6
2x 6
3y 6
x 3
y 2
( 3 , 0 )
( 0 , 2 )
7
Graph 2x 4y 8
x - intercept
y - intercept
Set y 0 and solve for x
Set x 0 and solve for y
2x 4(0) 8
2(0) 4y 8
2x 8
4y 8
x 4
y 2
( 4 , 0 )
( 0 , 2 )
8
Try This
Graph y 2x 1
Graph x 2y 4
using slope intercept
using x y intercepts
The slope is 2
x intercept 4
( 4 , 0 )
y intercept is ( 0 , 1 )
y intercept 2
( 0 , 2 )