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AIMS Math Prep
Linear Equations Graphing
March 30, 2009
Monday
find the y-intercept,
Period 1 To
locate where the line
crosses the vertical (y)
axis.
e.g. -2
1.
5.
Find the y-intercept for each graph.
2.
3.
4.
6.
7.
8.
Check out
http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm
find the y-intercept,
Period 1 To
locate where the line
ANSWERS
1.
crosses the vertical (y)
axis.
e.g. -2
Find the y-intercept for each graph.
1
2.
3.
1
4.
4
-2
5.
6.
-1
7.
-3
Check out
2
8.
-1
http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm
Period 2
To find the slope, locate a point on the left
and count the number you spaces you go up
(+) or down (-) to get to the next point. -2 = -1
4 2
1.
5.
Find the slope for each graph.
2.
3.
4.
6.
7.
8.
Check out
http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm
Period 2
ANSWERS
To find the slope, locate a point on the left
and count the number you spaces you go up
(+) or down (-) to get to the next point. -2 = -1
4 2
1.
Find the slope for each graph.
-1
5.
2.
3
2
6.
4
7.
0
Check out
3.
4.
-2
0
8.
-1
-1
5
http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm
the equation of the
Period 3 Write
line in slope intercept form
y = (slope)x + y-intercept
e.g. y = ½ x - 2
Find the equation of the line for each graph.
1.
2.
3.
4.
5.
6.
7.
8.
Check out
http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm
Period 3
Write the equation of the
line in slope intercept form
y = (slope)x + y-intercept
ANSWERS
e.g. y = ½ x - 2
1.
Find the equation of the line for each graph.
y  x  1
5.
y  4x  1
2.
3.
y
3
x 1
2
6.
y  2 x  4
7.
y  3
Check out
y2
4.
y  x  2
8.
1
y   x 1
5
http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm
Period 4
Write the equation of each line. Vertical lines are in the
form x = ___ and horizontal lines are in the form y = __
with the __ being the point where the line crosses.
1.
2.
3.
4.
5.
6.
Period 4
ANSWERS
Write the equation of each line and its slope. Vertical lines
are in the form x = ___ and horizontal lines are in the form
y = __ with the __ being the point where the line crosses.
1.
4.
y=1
Slope = 0
y = -4
Slope = 0
2.
5.
y = -3
Slope = 0
x=8
Slope is undefined
3.
x = -1
Slope is undefined
6.
x = -4
Slope is undefined
Period 5
Determine if the lines are parallel (equal slope), perpendicular (form right
(90°) angles with negative inverse slopes (opposite signs & flipped)), or
neither.
1.
2.
3.
4. y = ½ x + 5
y = -2x + 8
5. 4y = 8x – 5
3y = 6x + 2
6. 3y + 9x = 13
2y + 6x = 4
Period 5 ANSWERS
Determine if the lines are parallel (equal slope), perpendicular (form right
(90°) angles with negative inverse slopes (opposite signs & flipped)), or
neither.
Parallel slope = ½
1.
Neither
Slopes are 2/3 & -1
2.
4. y = ½ x + 5 Perpendicular 5. 4y = 8x – 5 Parallel
y = -2x + 8 Slopes: ½ & -2
3y = 6x + 2 slopes = 2
Perpendicular
3.
slope -2 & ½
6. 3y + 9x = 13
2y + 6x = 4
Parallel
Slopes = -3
Period 6
Find the solution to the system of equations graphed.
(locate the point of intersection)
1.
2.
3.
4.
5.
6.
Period 6 ANSWERS
Find the solution to the system of equations graphed.
(locate the point of intersection)
1.
2.
3.
(3, 1)
(-3, -3)
4.
No solution
5.
(-6, -2)
6.
(4, 6)
(0, 2)