1. Math 025 Section Graphing

2. Objectives: to graph an equation in the form y = mx + b
to graph an equation in the form Ax + By = C
to solve application problems

3. Graph y = -3x
y = -3x x y -2 5 2 2 -1

4. Graph: y = 3x – 5
y = 3x – 5 x y -1 -8 -5 1 -2

5. Graph: 2x – 3y = 6 2x – 3y = 6 -3y = -2x + 6 y = 2x – 2 3 x y -3 -4 -2-2 3

6. Graph: x + 4y = 8 x + 4y = 8 4y = -x + 8 y = -x + 2 4 x y -4 3 2 4 1 y2 4 1

7. x = a is always a vertical graph
Problem: Graph x = 5
Find any two points that have 5 as the x-coordinate. y
Draw the line.
x = 5
x = a is always a vertical graph
Problem: Graph y = -2 x
y = -2
Find any two points that have -2 as the y-coordinate.
Draw the line.
y = b is always a horizontal graph

8. A local car dealer is advertising a 2-year lease on a Honda Civic
A local car dealer is advertising a 2-year lease on a Honda Civic. The upfront cost is $3000 and the monthly payment is $ The total cost, C, after x months is given by C = 150x Graph this equation for 0 £ x £ 24. x C
C = 150x C
3000 12
4800
(18, 5700) 24
6600
5000
Total Cost
The point (18, 5700) is on the graph.
Write a sentence that describes this point. x 12 24
The ordered pair (18, 5700) means that the total cost of the lease for 18 months is $5700
months