Moving a Point on the Coordinate Grid

Move around the point.[br][br]See how its [math]x[/math] and [math]y[/math] value change as its location changes.

Distance Between Two Points

Move Point A or B.[br][br]Notice how the distance between the two points changes.
Distance Between Two Points

The Slope-Intercept Form of a Linear Equation

The slope-intercept form of a linear equation is [math]y = mx +b[/math].[br][br]Move slider [math]m[/math]. See the steepness of the line change. The slope of the line is [math]m[/math]. [br]When [math]m[/math] is negative, the direction of the line changes. When [math]m = 0[/math], the line is flat. [br]Vertical lines do not have a slope. [br][br]Where the line intersects the [math]y[/math]-axis is the [math]y[/math]-intercept point of the line. The [math]y[/math]-intercept is the point [math](0, b)[/math]. [br]Only the [math]b[/math] is used in the equation, and it is the constant term of the equation.[br][br]Move slider [math]b[/math]. See the line move up or down. [br]When [math]b[/math] is positive, the y-intercept is above the [math]x[/math]-axis.[br]When [math]b[/math] is negative, the y-intercept is below the [math]x[/math]-axis.
The Slope-Intercept Form of a Linear Equation

Equations of Parallel Lines

Line [math]a[/math] and Line [math]c[/math] are parallel lines. They have the same slope.[br][br][math]y=mx+b[/math] is the slope-intercept form of a linear equation.[br]The slope is [math]m[/math].[br][br]Move slider [math]m[/math]. The slope for both lines will change. [br][br]Move slider [math]b[/math]. Line [math]a[/math] will move, but line [math]c[/math] will be stationary.
Equations of Parallel Lines

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