1. Chapter 4: Graphing Linear Equations

2. Warm-Up Find the slope and y intercept 2y+14x = 11 13x - y + 12 = 0
Evaluate the functions when x = 5
f(x) = 5-2x + 3
f(x) = 3-12x

3. 4.1 Plot points on coordinate Plane

4. A(3,4)
B(-5, 0)
C(-7, -2)

5. 4.2 Graph Linear Equations

6. Solve for Y
Y = -3x +1
Y + 3x = 1

7. Solve for Y:
Y = -3x +1
Y + 3x = 1
Make a table: X -1 1 Y 4 -2

8. Solve for Y: Make a table: Plot the points and draw a line Y + 3x = 1-1 1 Y 4 -2
Plot the points and draw a line

9. 4.3 Graph using intercepts

10. Find the intercepts Finding The X intercept -0.5x + 2y = -4
-0.5x + 2(0) = -4 (solve for x)
X = -8
Finding The Y intercept
-0.5(0) + 2y = -4 (solve for y)
Y = 2

11. Find the intercepts Finding The X intercept -0.5x + 2y = -4
-0.5x + 2(0) = -4 (solve for x)
X = -8
Finding The Y intercept
-0.5(0) + 2y = -4 (solve for y)
Y = 2
Plot the intercepts and connect the line

12. 4.4 Find slope and rate of change

13. Find the slope of a line y2 - y1 Example: (2, -3) and (4, -4)
x2 - x1
Example: (2, -3) and (4, -4)
-4-(-3)
m = = ----

15. 4.5 Graph using slope-intercept form

16. Graph the equation 2x + y = -1
Rewrite in Slope-Intercept Form:
y= -2x - 1
Determine the slope and the y- intercept:
m= -2, y= (0,-1)

17. Graph the equation 2x + y = -1
Rewrite in Slope-Intercept Form:
y= -2x - 1
Determine the slope and the y- intercept:
m= -2, y= (0,-1)
Graph

18. 4.6 Model direct variation

19. Graph the direct variation equation y = -2x3
Same way as graphing slope-intercept form, but instead of starting from a y-intercept, you start at the origin, or (0,0)

20. 4.7 Graph linear functions

21. Evaluate the function f(x) = -6x+5 when x = 3
f(3) = -6(3)+5 substitute the x’s with 3s
f(3) = solve
= -13

22. Homework: Page 275
#s 1, 3, 5, 9, 10, 12, 13, 15, 18-20