Graphic Solution for Equation with Two Variables
Graphs, tables, and equations are three ways to describe a relationship between two variables.
Slope-intercept Form
Review of the slope-intercept form showing how to write an equation given the slope and the y-intercept, and how to write an equation to solve for the y-intercept given the slope and one point.
Slope is the Same Everywhere on a Straight Line
The ratio of a sloped line remains the same anywhere on that line and is unaffected by positive or negative position.
Solving Equations That Include Rational Expressions
To solve an equation with a rational expression, rewrite the equation to get rid of the fractions then solve the new equation. The same process is used to solve linear equations that contain rational expressions. If the solution makes any denominato...
Solution Sets for Systems of Equations
A system of two linear equations can have no points in common (parallel); one point at which they intersect, or an infinite number of solutions.
Rewriting Equations for Slope-intercept Form
Rewriting an equation in slope-intercept form.
Rewriting Equations in Order to Use the Elimination Method
Using the elimination method to solve a system of equations will sometimes require rewriting one of the equations.
Practical Problem: Phone Calls With a Surcharge
Using the slope-intercept form of equation, the amount of a hotel will charge to make a call from the phone in their room is calculated.
Practical Problem: The Cost of Plumbing Repairs
A practical application of the slope-intercept equation involving rate of change is demonstrated.
Practical Problem: Find the Rate of Gas Pumped
Illustrating the slope formula with a practical rate problem.