Finding Coordinates from Points on the Plane
Finding coordinates from points on a graph.
Subject: point
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
Graphing Points on the Coordinate Plane
How to graph points on the coordinate plane.
Subject: point
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
Slope-intercept Form
the y-intercept given the slope and one point.
Subject: point
Transcript: OF HOURS WORKED. THE Y-INTERCEPT IS THE STARTING POINT. THERE ARE ALSO MANY OTHER POINTS ON THE LINE. IF WE DON'T KNOW THE Y-INTERCEPT, WE CAN USE
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: point
Transcript: NARRATOR: THAT SOLUTIONS TO SYSTEMS OF TWO LINEAR EQUATIONS ARE THE POINTS THEY HAVE IN COMMON. FOR EXAMPLE, SOME SYSTEMS MAY PRODUCE TWO LINES THAT
Slope Formula, The
The slope formula enables you to use two ordered pairs to find slope. Sub notation is used for clarity.
Subject: point
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: point
Transcript: . SLOPE IS THE RATIO THAT SHOWS US THE RATE OF CHANGE BETWEEN TWO POINTS. WHEN X IS HOURS AND Y IS DOLLARS, SLOPE TELLS US THE COST IN DOLLARS PER HOUR
Graphing the Equation y = 3x - 1
How to graph the equation y = 3x - 1.
Subject: point
Transcript: NARRATOR: TO GRAPH THE LINE FOR THIS EQUATION, WE NEED AT LEAST TWO ORDERED PAIRS OR POINTS. WE DO THIS BY CHOOSING A VALUE FOR ONE VARIABLE AND
Graphing an Equation with a Negative Slope
A practice problem for using the slope-intercept form to graph a negative slope.
Subject: point
Transcript: TRY THIS EQUATION. FIND THE Y-INTERCEPT, THEN USE THE SLOPE TO FIND A SECOND POINT, AND GRAPH THE LINE. THE Y-INTERCEPT IS 0, NEGATIVE 1. COUNT THE
Identifying the Slope and y-intercept in an Equation
How to identify and the y-intercept in an equation.
Subject: point
Transcript: NARRATOR: WE CAN ALSO USE THE ORDERED PAIRS TO FIND THE SLOPE OF THE LINE. JUST SUBSTITUTE THE COORDINATES OF THESE TWO POINTS IN THE SLOPE FORMULA
Finding Slope and Negative Slope
Plotting negative slope compared with plotting positive slope.
Subject: point
Transcript: WITH NEGATIVE SLOPE SLANT DOWN FROM LEFT TO RIGHT. BETWEEN ANY TWO POINTS ON THE LINE THE VALUE OF Y DECREASES AS X INCREASES. WHAT'S THE SLOPE OF THE