1. Find the indicated value
g(-5) if g(x) = 3x - 2

2. Find the domain and range
2) {(3, 4), (3, 5), (5,6), (6,7)}

3. Determine which are functions
3) ) )

4. State the domain and range.

6. Chapter 2 Section 4
Linear Functions and Slope All graphs need to be done on graph paper. Four, five squares to one inch is the best. One unit = one square

7. Definition
x – intercept of the graph: x-coordinate where the graph intersects the x-axis
Ordered pair: (x, 0)
y – intercept of the graph: y-coordinate where the graph intersects the y-axis
Ordered pair: (0, y)

8. Example
Find the x and y intercept. y x

9. Find the x, y intercepts
x+ 3y = 6
3x = 5y - 15

10. Slope of a line How steep is the line. Where do you find slope?
Roof of a house – pitch
Highway to Tahoe – grade
What other examples?

11. Mathematical Definition
Slope
Graph: rise over run: 𝑟𝑖𝑠𝑒 𝑟𝑢𝑛
Computation: 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1
𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑦 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥

12. Example
Find slope: y x

13. Slope
Find the slope of a line that passes through (-2, 0) and (1, 4)

14. Find the slope that passes through the two points.
(- 1 , 4) and (2, 5)
(-3, - 4) and (-1, 6)

15. Slope Positive slope: rises Negative slope: fall
Zero slope: horizontal
No slope: vertical

16. Slope-Intercept Form Nonvertical line with slope, m, and
y-intercept, b.
y = mx + b

17. Find the slope and y-intercept
y = 3x - 2
f(x) =

18. Rewrite in slope-intercept form
g) 5y = 4x + 2 h) 7x + 2y = 14

19. Standard form
Nonvertical line where a ≠ 0 and a, b, c are real numbers
ax + by = c

20. Rewrite in standard form
f(x) = -3x + 2
j) f(x) =

21. Sketch the graph
k) 5y = 4x l) 5x + 3y = 15