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Slope & Midpoint on the Coordinate Plane

This guide explores the concepts of slope and midpoint in the coordinate plane. The slope, representing the rate of change between two points, is calculated using the formula (rise/run). Examples illustrate finding the slope between various points, including (-2, 3) to (4, 8) and (7, -6) to (-5, 2). Additionally, the midpoint formula helps find the center between two points on both a number line and the coordinate plane. Practice problems are provided to enhance your understanding of calculating slopes and midpoints.

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Slope & Midpoint on the Coordinate Plane

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  1. Slope & Midpointon the Coordinate Plane

  2. SLOPE The rate of change to get from one point to another. RISE over RUN SLOPE FORMULA Given two points (x1,y1) and (x2,y2)

  3. Find the slope of the line through the points: (-2,3) and (4,8)

  4. Find the slope of the line through the points: (7,-6) and (-5,2)

  5. Find the slope of the line through the points: (1,2) and (5,2)

  6. Find the slope of the line through the points: (2,1) and (2,5)

  7. A B C D Find the slope of each line: slope of line A _____ slope of line B _____ slope of line C _____ slope of line D _____

  8. Midpoint The midpoint can be found on a number line and on a coordinate plane. The formulas for both are: M(on a coordinate plane)= M (on a # line) =

  9. Find the midpoint of ( -2, -1 ) and ( 4, 2 ). M=

  10. If 7 is one endpoint and -11 is the midpoint, find the other endpoint. M =

  11. If ( 6, 1 ) is the midpoint and ( 2, 7 ) is one endpoint, then find the other endpoint. M=

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