University:
Bradley University
Course:
MTH 109 | College Algebra
Academic year:

2020
Views:

214

Pages:

4
Author:

Remington Spence

Functions Fact Sheet Linear Equations Foldable Slope Notes Slope: Steepness of a line, +/-1/0/no (M = \frac{\Delta y}{\Delta x}) = rise/run = (\frac{y_2 - y_1}{x_2 - x_1}) Graph (\Delta x = 0) (\frac{\Delta y}{\Delta x} = \frac{+}{+}) (\frac{\Delta y}{\Delta x} = \frac{-}{+}) (\frac{\Delta y}{\Delta x} = \frac{0}{+}) (\frac{\Delta y}{\Delta x} = \frac{+}{0}) (\Delta y = 0) (\frac{\Delta y}{\Delta x} = \frac{0}{-}) (\frac{\Delta y}{\Delta x} = \frac{-}{0}) M is positive Direct relationship As y ↑, x ↑ M is negative Inverse relationship As y ↑, x ↓ M is zero Zero effort x = y M is no slope No way As y = x "P" Equation [y = mx + b] Slope: Coefficient of x term Example 1: (y = 3x + 5) (m = 3) Example 2: (2x + 6y = 15) (6y = -2x + 15) (y = -\frac{2}{3}x + \frac{15}{6}) (m = -\frac{2}{3}) Example 3: (y = -\frac{2}{3}x + 7) (m = -2)