Practical Problem: Find Travel Speed
In a practical illustration, travel speed is calculated using two ordered pairs.
Subject: slope
Transcript: RATIO THAT WILL TELL US MILES PER HOUR. WHICH VARIABLE STANDS FOR MILES? WHICH ONE STANDS FOR HOURS? THINK OF THE SLOPE FORMULA. X IS HOURS, Y IS MILES
Practical Problem: Furniture Salesperson Earnings
Using the slope-intercept form to solve a practical problem involving calculating earnings.
Subject: slope
Transcript: . NOW LET'S IDENTIFY THE SLOPE. IT'S CHARLOTTE'S 2% COMMISSION, 0.02. TO FIND HER BASE SALARY, WE'LL WORK WITH SALES AND EARNINGS. CHARLOTTE SOLD $425
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
Subject: slope
Transcript: THAT WILL LET DOUG FIND HIS TOTAL PAY FOR ANY NUMBER OF HOURS? THE PROBLEM GIVES US THE SLOPE AND THE Y-INTERCEPT. TO WRITE THE EQUATION, WE JUST
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.
Subject: slope
Transcript: NARRATOR: IT DOESN'T MATTER WHERE WE START WHEN WE FIND THE SLOPE OF A LINE. WE COULD START HERE, MOVE TO THE LEFT 2 UNITS. THE HORIZONTAL CHANGE IS
Rewriting Equations for Slope-intercept Form
Rewriting an equation in slope-intercept form.
Subject: slope-intercept form
Transcript: NARRATOR: WORKING WITH EQUATIONS IN SLOPE INTERCEPT FORM IS EASY. BUT AS USUAL, IT'S IMPORTANT TO BE CAREFUL WITH THE DETAILS. LOOK AT THIS EQUATION
Practical Problem: The Cost of Plumbing Repairs
A practical application of the slope-intercept equation involving rate of change is demonstrated.
Subject: slope-intercept form
Transcript: NARRATOR: ALGEBRA PROBLEMS ARE OFTEN WRITTEN IN SLOPE INTERCEPT FORM. WHEN WE ENCOUNTER PROBLEMS ABOUT RATE OF CHANGE, WE CAN USUALLY SOLVE THEM
Practical Problem: Find the Rate of Gas Pumped
Illustrating the slope formula with a practical rate problem.
Subject: slope formula
Transcript: NARRATOR: HERE'S ANOTHER RATE PROBLEM. WATCH FOR THE ORDERED PAIRS. THEN USE THEM IN THE SLOPE FORMULA. JOE DRIVES A GASOLINE TANK TRUCK THAT
Slope Formula, The
The slope formula enables you to use two ordered pairs to find slope. Sub notation is used for clarity.
Subject: slope
Transcript: NARRATOR: WE'VE FOUND SLOPE BY COUNTING FROM ONE POINT TO ANOTHER. WE HAVEN'T PAID MUCH ATTENTION TO THE ORDERED PAIRS OF THE POINTS WE'VE USED
Slope Defined
Slope is the ratio that shows the rate of change between two pints. Calculating slope using a graph is demonstrated.
Subject: slope
Transcript: NARRATOR: WE USE GRAPHS LIKE THIS ONE TO SEE THE RATE AT WHICH THE VALUE OF Y CHANGES AS THE VALUE OF X CHANGES. WE CALL THIS RATE OF CHANGE SLOPE
Horizontal and Vertical Lines Have No Slope
Plotting and spotting zero slope lines, both horizontal and vertical.
Subject: slope
Transcript: NARRATOR: WE'VE SEEN LINES WITH POSITIVE AND NEGATIVE SLOPES. NOW WE'LL LOOK AT TWO SPECIAL CASES, VERTICAL LINES AND HORIZONTAL LINES. HERE'S A