2.3 Notes Linear Functions: Slope, Graphs, and Models.

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Presentation transcript:

2.3 Notes Linear Functions: Slope, Graphs, and Models

Warm-up What is the slope of the line?

Slope Slope = Rate of change Find the slope of the line that passes through (1, -2) and (-3,7). Sketch the line.

You try! Find the slope of the line passing though (6, -4) and (7, -4). Sketch the line.

Slope-Intercept Form The Slope-intercept form of a line Any equation of the form y =mx + b is said to be written in slope-intercept form. * The slope is m * The y-intercept is b. Sketch the lines on the same grid. Find the slope of each line and compare and contrast the lines. y = 3x y = 3x + 5

Exploring the Concept Answers:

Writing a Linear Equation xy The table below contains several points from the graph of the line. Write the equation of the line in slope-intercept form Slope = y-int =

Graphing Steps for graphing: 1)Plot y-intercept (x,y) 2)Use slope to plot a point on both sides of the y-int. 3)Connect dots and draw arrows

Graphing 5x – 4y = 10 (a) Determine the slope and the y –intercept of the line (b) Graph the line

Application

Depreciation Example