Point-Slope Form Builder

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About This MicroSim

This interactive tool lets you build line equations using point-slope form. Drag the point P anywhere on the grid and adjust the slope slider to see both the point-slope form and slope-intercept form update in real-time.

How to Use

1. Drag Point P: Click and drag the blue point anywhere on the grid
2. Adjust Slope: Use the slider to change the slope (m)
3. Watch Equations: See both equation forms update instantly
4. Conversion Steps: Follow the step-by-step conversion from point-slope to slope-intercept form

Controls

Control	Function
Drag Point P	Move the reference point on the line
Slope Slider	Adjust the slope from -3 to 3
Random	Generate new random point and slope
Triangle: ON/OFF	Toggle the rise/run triangle display
Snap: ON/OFF	Toggle grid snapping

Equation Forms Shown

Form	Example
Point-Slope	y - 4 = 2(x - 3)
Slope-Intercept	y = 2x - 2

Learning Objectives

• Apply point-slope form to write equations given a point and slope
• Analyze the conversion between point-slope and slope-intercept forms

Bloom's Taxonomy Level

Applying and Analyzing - Equation building and form conversion.

Iframe Embed Code

<iframe src="https://dmccreary.github.io/geometry-course/sims/point-slope-builder/main.html"
        height="702px"
        width="100%"
        scrolling="no"></iframe>