Intro. To Slope (Ay ) of a Line

Name:_____________________________Period:__________Date:_________________
PreAlgebra Ch. 4 Introduction
Intro. To Slope ( Δy ) of a Line 1.) Δx
Is the following function linear? (Hint: Δy
Δx
) x -‐‑3 0 3 9 y 0 2 4 8 a. Graph the points from the table and draw a line using a straight edge. b. On the graph, draw the “Change in y” from the first y-‐‑coordinate to the second y-‐‑coordinate. c. Similarly, draw the “Change in x” from the first x-‐‑coordinate to the second x-‐‑
coordinate. 2.) 3.) What do you notice about the Δy
Δx
on the graph? Can you predict where another point on the line would be? (Hint: Draw the Δy and Δx from your last coordinate) Name:_____________________________Period:__________Date:_________________
PreAlgebra Ch. 4 Introduction
4.) Is the following function linear? (Hint: Δy
Δx
) x -‐‑6 -‐‑4 0 y 0 -‐‑1 -‐‑3 a. Graph the points from the table and draw a line using a straight edge. b. On the graph, draw the “Change in y” from the first y-‐‑coordinate to the second y-‐‑coordinate. c. Similarly, draw the “Change in x” from the first x-‐‑coordinate to the second x-‐‑
coordinate. d. Continue drawing the rates of change from the second coordinates to the third. 5.) Can you figure out where the next two coordinates are based upon the rate of change? Write the coordinates in the last two spots of the table. (Hint: Draw the Δy and Δx from your last coordinate) 6.) Do we need an entire table? If (0, -‐‑1) & (2, 7) are two coordinates on a line, can you find the rate of change (
BONUS: 7.) Using the Δy
Δy
Δx
) for the line? you found in question #6, identify another coordinate Δx
(ordered pair) that would be on the line.

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