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Transcript

ALGEBRA 1 Outline Sec. 5.3 Cierech/Dahl Name: Date: Slope-Intercept Form A of functions is a group of functions with common characteristics. A function is the simplest function with these characteristics. The linear parent function is or Slope Intercept Form of a Linear Equation: The equation of line in the slope-intercept form: m represents the . b represents the . (where the line crosses the y-axis) Example 2: What are the slope and y-intercept of the following equations? c) 3 x 2 y 8 m= y 4 x m= b= b= b= a) y 3x 4 b) m= Example 3: Find the equation of the line with a y-intercept of 1 and a slope 3. Equation: _______ ______ Example 4: What is the equation of the line graphed at the right? What is the y-intercept? _______ What is the slope? ______ Equation: Writing an Equation From Two Points: STEPS: 1) Find the slope of the line 2) Use the slope and one of the coordinates to find b. 3) Substitute the slope and y-intercept into the slope-intercept form to write the equation. Example 5: What is the equation of the line passing through the points (3, -4) and (9, 0)? Graphing a Linear Equation: Graph the equation y 2 x 3 1) Plot the y-intercept 2) Use the slope to move vertically and then horizontally from that point. 3) Draw a line through the two points. Homework: Tonight: p. 332-333 #’s 12-36 even Tomorrow: p. 336-337 #’s 3-12, 18-234