Two example of finding slope using a line offer practice of this skill.
Subject: slope
Transcript: NARRATOR: LET'S FIND THE SLOPE OF THIS LINE. WE'LL USE THESE TWO POINTS. WE'LL START AT THE Y-INTERCEPT AND MOVE TO THE RIGHT 6 UNITS. THE
Using an equation to find slope.
Subject: slope
Transcript: NARRATOR: WE'VE SEEN TWO DIFFERENT WAYS OF FINDING SLOPE, FROM LINES AND FROM ORDERED PAIRS. BUT REMEMBER, THE LINES AND ORDERED PAIRS ARE JUST
Finding slope without a graph.
Subject: slope
Transcript: NARRATOR: WE CAN FIND SLOPE WITHOUT EVER SEEING A LINE. ALL WE NEED ARE TWO ORDERED PAIRS. P SUB 1, P SUB 2. USE THE COORDINATES IN THE FORMULA. 4
Looking at a practical problem from the perspective offered by a slope-intercept solution and from that offered by a standard form equation solution.
Subject: slope-intercept form
Transcript: NARRATOR: WE'VE SEEN SOME PRACTICAL PROBLEMS THAT CAN BE SOLVED BY USING EQUATIONS IN SLOPE INTERCEPT FORM. THE SLOPE, OR RATE, WAS ALWAYS GIVEN IN
Using the slope-intercept form of equation, a practical problem involving the rate of growth of a stack of newspapers is calculated.
Subject: slope
Transcript: VARIABLES THAT DESCRIBES THE HEIGHT OF THE STACK FOR ANY NUMBER OF DAYS. X IS DAYS, Y IS INCHES. IN THIS PROBLEM, WE DON'T KNOW THE SLOPE. THAT'S THE NUMBER
Using a linear equation to calculate the cost of building thirty tables to sell.
Subject: slope
Transcript: 'S ONE POINT. 15 COST $488. THAT'S ANOTHER POINT. WE'LL USE THE ORDERED PAIRS TO FIND THE SLOPE. 488 MINUS 168 OVER 15 MINUS 5. SUBTRACT. REDUCE. THE SLOPE
Using the slope formula to plot a graph.
Subject: slope formula
Transcript: NARRATOR: IT'S DIFFICULT TO COUNT VERTICAL AND HORIZONTAL CHANGE ACCURATELY. WE'RE BETTER OFF USING THE ORDERED PAIRS AND THE SLOPE FORMULA. WE
Using a linear equation to project earnings for a business.
Subject: slope
Transcript: 'LL USE THE ORDERED PAIRS TO FIND THE SLOPE. SAM LOST 500 RENTALS WHEN HE RAISED THE PRICE BY $1. THE SLOPE IS NEGATIVE 500. THE TOTAL RENTALS, Y, EQUALS
Writing horizontal and vertical line equations in slope-intercept form.
Subject: slope
Transcript: NARRATOR: WHAT ABOUT THIS EQUATION, Y EQUALS 3? WHERE'S THE X? THERE ISN'T ANY. THE COEFFICIENT OF X MUST BE 0. SO THE SLOPE OF THE LINE IS ALSO 0
Comparing two equations with the same slope but different y-intercepts.
Subject: slope-intercept form
Transcript: 'S CHANGE IT TO SLOPE INTERCEPT FORM SO WE CAN COMPARE THE TWO. SUBTRACT 2X. DIVIDE BY NEGATIVE 3. THE TWO EQUATIONS HAVE THE SAME SLOPE, BUT DIFFERENT Y