Slope Sleuths Worksheet
AR.3A Compare & Contrast Key Attributes
Slope & Intercept Analysis
Name:
Date: Period:
Directions: For each linear relationship below, analyze the table to calculate the slope (\(m\)), identify the coordinates of the \(y\)-intercept \((0, b)\), and write the function in slope-intercept form (\(y = mx + b\)).
1
Linear Function A
Determine key attributes from the table
Use any two coordinate pairs to verify slope
Show Work (\(m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}\)):
a. Slope (\(m\)):
m =
b. \(y\)-intercept:
( , )
c. Equation:
y =
2
Linear Function B
Determine key attributes from the table
Use any two coordinate pairs to verify slope
Show Work (\(m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}\)):
a. Slope (\(m\)):
m =
b. \(y\)-intercept:
( , )
c. Equation:
y =
Key Checkpoint: What value of \(x\) always reveals the \(y\)-intercept in a table?
\(x =\)
