Practical Problem: Predicting the Costs for a Business
Using a linear equation to calculate the cost of building thirty tables to sell.
Practical Problem: Predicting the Earnings for a Business
Using a linear equation to project earnings for a business.
Slope-intercept Form: y = mx b
The slope-intercept form: y = mx b. Problems about rate of change involving two variables are solved using the slope-intercept form of equation.
Horizontal and Vertical Lines in Slope-intercept Form
Writing horizontal and vertical line equations in slope-intercept form.
Equations Where Slope is the Same But y-intercept is Not
Comparing two equations with the same slope but different y-intercepts.
Changing Standard Form Equations to Slope-intercept Form
To change a linear equation from standard form to slope- intercept form, solve for y. The procedure is demonstrated several times.
Examples Using Two Points to Write an Equation
Practice writing equations given two points on a line.
Solving Systems by Graphing
Graphing the solution to a system of slope-intercept form equations.
Using Slope and One Point on a Line to Write an Equation
Writing an equation in slope-intercept form given the slope and a point on the line.
Using Slope-intercept Form to Graph an Equation
Using the slope-intercept form, the line can be graphed simply by plotting the y-intercept and using that slope to find the second point.