Finding Coordinates from Points on the Plane
Finding coordinates from points on a graph.
Series: Linear Equations And Graphs I
Subject: graph
Transcript: NARRATOR: WE CAN FIND COORDINATES FROM POINTS ALREADY ON THE GRAPH. LET'S FIND THE COORDINATES OF THIS POINT LABELED D. IF WE HAD TO GRAPH THIS
Standard Form of a Linear Equation
The standard form for a linear equation is detailed.
Series: Linear Equations And Graphs I
Subject: graph
Transcript: NARRATOR: WE'VE ALREADY WORKED WITH A FEW LINEAR EQUATIONS. IN EACH CASE, WE SAW THAT THE GRAPH OF THE EQUATION IS A STRAIGHT LINE. BUT WE DON
Practical Problem: Find Travel Speed
In a practical illustration, travel speed is calculated using two ordered pairs.
Series: Linear Equations And Graphs II
Subject: graph
Transcript: NARRATOR: THERE ARE PLENTY OF SITUATIONS IN WHICH WE HAVE ORDERED PAIRS WITHOUT GRAPHS. HERE'S AN EXAMPLE. SUPPOSE YOU'RE ON A LONG TRIP. AFTER 3
Practical Problem: Furniture Salesperson Earnings
Using the slope-intercept form to solve a practical problem involving calculating earnings.
Series: Linear Equations And Graphs IV
Subject: graph
Graphing Points on the Coordinate Plane
How to graph points on the coordinate plane.
Series: Linear Equations And Graphs I
Subject: graph
Transcript: NARRATOR: GRAPHING POINTS ON THE PLANE IS A LOT LIKE FINDING YOUR WAY AROUND. SUPPOSE YOU DRIVE INTO A TOWN NAMED GRAFTON. YOU'RE AT THE
Graphic Solution for Equation with Two Variables
Graphs, tables, and equations are three ways to describe a relationship between two variables.
Series: Linear Equations And Graphs I
Subject: graph
Transcript: SHOW THE SOLUTIONS. WE CAN PLOT THE VALUES FOR X AND Y ON A GRAPH LIKE THIS. DON'T WORRY ABOUT HOW WE FOUND THOSE POINTS. FOR NOW, HERE'S WHAT
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.
Series: Linear Equations And Graphs IV
Subject: graph
Transcript: EARNINGS, Y, FOR X, THE NUMBER OF HOURS HE WORKED. WE CAN ALSO USE THE Y-INTERCEPT AND THE SLOPE TO GRAPH THE LINE THAT SHOWS DOUG'S EARNINGS FOR ANY NUMBER
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.
Series: Linear Equations And Graphs II
Subject: graph
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.
Subject: graph
Transcript: ORDERED PAIR THAT SATISFIES BOTH EQUATIONS. SUCH A SYSTEM HAS ONE SOLUTION. SOME SYSTEMS HAVE NO POINTS IN COMMON. THE GRAPHS OF THE EQUATIONS ARE PARALLEL
Rewriting Equations for Slope-intercept Form
Rewriting an equation in slope-intercept form.
Series: Linear Equations And Graphs III
Subject: graph