Page 2: Converting to Slope-Intercept Form

This page demonstrates how to convert equations between different forms using a specific example with points (2,4) and $5,-2$. The process shows how to find the slope first and then use one point to write the equation.

Example: The page works through finding the slope m = -2 using two points, then uses point (2,4) to write the equation y-4 = -2$x-2$.

Highlight: The final step shows how to write in slope-intercept form by solving for y, resulting in y = -2x + 8.

Vocabulary: Distributive Property is used when simplifying the equation to slope-intercept form.

Definition: Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Page 1: Writing Equations in Point-Slope Form

This page introduces the fundamental concept of point-slope form equations. The point-slope form is presented as y-y₁ = m$x-x₁$, where the line passes through point (x₁,y₁) with slope m.

Definition: Point-slope form is a linear equation written as y-y₁ = m$x-x₁$, where (x₁,y₁) is a point on the line and m is the slope.

Example: A detailed point-slope form equation example shows how to write an equation for a line passing through (6,1) with slope 2/3. The solution demonstrates substituting values into the formula: y-1 = 2/3$x+6$.

Highlight: The page emphasizes the importance of correctly identifying and substituting the point coordinates and slope into the formula.

Vocabulary: Slope $m$ represents the rate of change or steepness of the line.