Linear Functions - Slope-Intercept Form

introduction

The slope-intercept form of a line, y = mx + b, is the most common way of writing the equation of a line. m is the slope, and b is the y-coordinate of the y-intercept.

Topics Covered:

• Determining the equation of a graph in slope-intercept form
• Drawing the graph of a slope-intercept function
• Problem solving (speed of sound, earning commission)

Curriculum Connection: Relations & Functions 3.6, 3.7, 3.9, 5.5, 5.6, 6.1-6.6, 7.1, 7.6

App 1 - Graphing a Slope-Intercept Equation:Each question in this app gives the slope-intercept equation of the line. As you drag the cursor over the grid, it will change color over points that exist on the line (grid verticies only). Click to lock in the point. When all possible points on the grid are locked in, the line will automatically be drawn.

App 2 - Dynamic Equation Generator: As the endpoints of the line segment are moved, the slope-intercept equation is automatically generated.
Teaching Tip: The equation may be toggled on and off using the f(x) button. One strategy for using this app with your class is to set a line (with the equation off), tell students to find the slope-intercept equation, then turn on the equation so they can check their work.

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