Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
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|Graphing Distance and Time
Students learn that distance and time can be represented on a graph. They also learn that steepness of a line segment on a distance?¢‚Ç¨‚Äútime graph can tell you how quickly an object was traveling during a certain period.