Linear Functions - Slope-Point Form

introduction

The slope-point form of a line is used when the y-intercept is not easily determined.

Topics Covered:

• Determining the equation of a graph in slope-point form
• Drawing the graph of a slope-point function
• Problem solving (city populations, filling a cylindrical tank)

Curriculum Connection: Relations & Functions 3.6, 3.7, 3.9, 5.5, 5.6, 6.1-6.6, 7.2, 7.6

App 1 - Graphing a Slope-Point Equation: Each question in this app gives the slope-point 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 and slope-point equations are automatically generated.
Teaching Tip: The equations 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 and slope-point equations, then turn on each equation so they can check their work.

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