[list][*]Use the input boxes and slider tools for [math]m[/math] and [math]b[/math] to adjust the slope and vertical intercept of the line, respectively. [/*][*]Use the input box for [math]x_0[/math] to move the point on the line. Use the slider tool for [math]h[/math] to adjust how far away the second point is from the first point. [/*][*]Use the slider tool for [math]\Delta x[/math] and then for [math]\Delta y[/math] to see a visual representation of the slope of the line. [/*][/list]

[b]Slope-Intercept Form: [/b]Linear functions have the form [math]y=mx+b[/math], where [math]m[/math] is the slope of the line and [math]b[/math] is the vertical intercept. [br][br][b]Slope: [/b]The slope between any two points [math](x_1,y_1)[/math] and [math](x_2,y_2)[/math] can be calculated by:[br][br][math]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/math][br][br][b]Point-Slope Form: [/b]If a point [math](x_0,y_0)[/math] on the line and the slope [math]m[/math] of the line are both known, then you can write an equation of the line using the slope formula by leaving the coordinates of a second point as variables [math](x,y)[/math]. By multiplying both sides of the slope formula by the denominator to get rid of the fraction, we obtain the point-slope form of a linear equation: [br][br][math]y-y_0=m(x-x_0)[/math]