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

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

Determine which are functions 3) 4) 5)

State the domain and range.

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

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)

Example Find the x and y intercept. y x

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

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?

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

Example Find slope: y x

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

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

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

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

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

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

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

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

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