Graphing Equations and Inequalities
ew
vi
Re
y = 3x + 2
y = 3x - 5
When the slopes
are the same and
the y-intercepts are
different the lines
are __________
y = 2x + 1
y = 4x + 2
When the slopes
and y-intercepts are
different, the lines
are ___________
y = -5x + 1
y = -5x + 1
When the slopes
and y-intercepts are
the same, the lines
are ___________
1
Graphing Equations and Inequalities
ew
vi
Re
y = 3x + 2
y = 3x - 5
When the slopes
are the same and
the y-intercepts are
different the lines
are parallel.
y = 2x + 1
y = 4x + 2
When the slopes
and y-intercepts are
different, the lines
are intersecting.
y = -5x + 1
y = -5x + 1
When the slopes
and y-intercepts are
the same, the lines
are the same.
2
Example: Is the system parallel, intersecting or the same line?
3x + 2y = 8
-4y = 6x + 16
Hint: get into slope­intercept form
3
Graph the system: 2x + 3y = 9
-4x - y = 3
What must you do in order to graph?
What is the solution to the system?
4
Graph the system: 2x + 4y ≥ -8
3x - 2y ≤ -6
What must you do in order to graph?
What is the solution to the system?
5
Graph y = -3 x + 2
6
Graph the solution on a number line for l x + 2 l ≤ 6
3
7
Graph the solution on a number for 3x - 4 > 7 AND -2x + 5 ≥ 12
8
Review all other notes to help
refresh your memory!
I did not cover all the material.
9
Homework is due on Wednesday, 1/6.
• Wkst 2.8---Do 1-11 odd
• Wkst 2.9---Do 1-5 odd, graphing each on graph paper.
• Wkst 3.1---Do all problems showing work for 4-6 on the back of
the worksheet.
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