More About Using Least Common Multiples
The least common multiple strategy reveals a system of equations that has not solution.
Subject: point
Transcript: , THE SYSTEM HAS NO SOLUTION. THE LINES THAT THESE EQUATIONS REPRESENT ARE PARALLEL. THEY HAVE NO POINTS IN COMMON, SO THE SYSTEM HAS NO SOLUTION.
Practical Problem: Predicting the Costs for a Business
Using a linear equation to calculate the cost of building thirty tables to sell.
Subject: point
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
Applying the Slope Formula to a Graph
Using the slope formula to plot a graph.
Subject: point
Transcript: 'LL LABEL THIS POINT P SUB 1 AND THE OTHER P SUB 2. NOW WE'LL PUT THE COORDINATES OF THE ORDERED PAIRS INTO THE SLOPE FORMULA AND SIMPLIFY. THE Y
Equations Where Slope is the Same But y-intercept is Not
Comparing two equations with the same slope but different y-intercepts.
Subject: point
Transcript: POINTS IN COMMON. PARALLEL LINES HAVE THE SAME SLOPE. THEY NEVER INTERSECT. PARALLEL LINES ARE A GOOD EXAMPLE OF THE COMPARISONS WE MAKE IN PRACTICAL
Graphing the Equation F = 1.8C 32
Graphing the equation F = 1.8C 32 to convert temperatures given in Celsius to Fahrenheit.
Subject: point
Transcript: DEGREES. WHEN C IS 40 DEGREES, THE FAHRENHEIT TEMPERATURE IS 104. THAT'S ANOTHER ORDERED PAIR, 40, 104. IT'S LOCATED HERE. WE ONLY NEED TWO POINTS TO GRAPH
Effect of Scale on Slope
The effect of scale on the steepness of a line's slope is illustrating by comparing graphs of interest rates at two different banks.
Subject: point
Transcript: THESE TWO POINTS TO FIND THE SLOPE FOR BANK 1. WE'LL MOVE UP 2, THEN WE'LL MOVE TO THE RIGHT 1 GRID SPACE. EACH GRID LINE ON THE X-AXIS STANDS FOR 100. SO
Coordinate Plane
axes to plot points on the plane creates a picture of the solution.
Subject: point
Transcript: PAPER, IT CONTINUES INDEFINITELY IN ALL DIRECTIONS. THESE TWO PERPENDICULAR NUMBER LINES ON THE PLANE HELP US TO LOCATE POINTS. THE HORIZONTAL NUMBER LINE
Examples Using Two Points to Write an Equation
Practice writing equations given two points on a line.
Subject: point
Transcript: NARRATOR: HERE ARE TWO POINTS ON ANOTHER LINE. LET'S USE THE SAME STEPS TO WRITE AN EQUATION. WE'LL FIND THE SLOPE OF THE LINE FIRST. SUBSTITUTE THE
Using Two Points on a Line to Write an Equation
Using the coordinates of two points on a line to write an equation involving the Celsius and Fahrenheit temperature scales.
Subject: point
Transcript: NARRATOR: UNTIL NOW WE'VE SOLVED PROBLEMS BY WRITING EQUATIONS WHEN WE WERE GIVEN THE SLOPE AND A POINT. SOMETIMES WE WON'T KNOW THE SLOPE. INSTEAD
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.
Subject: point
Transcript: NARRATOR: A LINE WITH A SLOPE OF 3 GOES THROUGH THE POINT 5, 19. SUBSTITUTE 3 FOR M. TO FIND THE Y-INTERCEPT, SUBSTITUTE 5 FOR X AND 19 FOR Y