Topic: Relations and Functions Aim: How do we graph a linear equation using the Slope-Intercept Form? Do Now: Copy the following definitions in your notes. Slope - describes how steep the line is and how it slants. (mountain slopes) y-intercept - the point at which the line hits the y-axis
y = mx + b Let's Investigate... y-intercept (0, b) Can you describe the critical values of my line? Slope:_______ Y-Intercept:_______ X-Intercept:________ The equation of my line is: y = 2x - 4 Slope-Intecept Form of a Line y = mx + b Slope (Steepness and direction of line) y-intercept (0, b)
Slope-Intercept Form y - intercept Slope 1) y = x 2 4) y = -2x +6 5 y coordinate, where the line crosses the y-axis. Slope Directions: Describe the graphs of the linear equations below. 1) y = x 2 2) y = - 2 - x 4) y = -2x +6 5 3) y = 3x - 5
9) Slope = -2; y-intercept = -7 Slope-Intercept Form y - intercept y coordinate, where the line crosses the y-axis. Slope Directions: Write the equations given the slope and y-intercept. 5) Slope = 3; y-intercept = -2 6) Slope = -3 ; y-intercept = 5 2 7) Slope = ; y-intercept = 0 8) Slope = 4; y-intercept = 1 9) Slope = -2; y-intercept = -7
Slope-Intercept Form Slope y - intercept x y 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 The slope of the line at the left is _________________ The y - intercept of the line at the left is ____________ The equation of the line must be: _______________________
Slope-Intercept Form #1) Slope y - intercept Equation: _______________
Slope-Intercept Form #2) Slope y - intercept Equation: _______________
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Summary Homework What is slope? What are the 4 types of slope? How do we find slope from a graph? What is the y-intercept? What is slope-intercept form? Homework Complete Handout
Slope-Intercept Form The equation of the line graphed below is y = 3x + 2. http://www.mathopenref.com/linearexplorermxb.html A linear function is of the form y = mx + b. 1) What does the x and y represent? 2) What does the m and b represent? Go to the following site and snap to integers. Have students discuss how the line changes as the m value is adjusted. What does the m represent? Have students discuss how the line changes as the b value is adjusted. What does the b represent? notes