y = mx + b or f ( ) x = mx + b Graph is a line with point ( 0,b ) and slope m. a > 0 or down if a < 0 and has a vertex at ( h , k ) . Graph is a circle with radius ( h , k ) . Graph is an ellipse with center ( h , k ) with vertices a units right/left from the center and vertices b units up/down from the center.
•Write the slope as a fraction. Slope = 3/5 ** Read the graph from left to right. If the line is falling, then the slope is negative. If the line is rising, the slope is positive. **When counting the rise and run, if you count down or left, then the number is negative. If you count up or right, the number is positive. Slope Intercept Form y ...
y = a or f ( x ) = a Graph is a horizontal line passing through the point ( 0,a ) . y = mx + b or f ( x ) = mx + b Graph is a line with point ( 0,b ) and slope m. a > 0 or down if a < 0 and has a vertex at ( h , k ) . ö ö ÷ ÷ . Graph is a circle with radius ( h , k ) .
Formulas: Midpoint Formula (x1+x2 2, y1+y2 2) Distance Formula (√ 2− 1 )2+( 2− 12 Slope Formula m = y2 − y1 x2 − x1 Equations of Lines: Slope-Intercept Form y = mx + b Point-Slope Form y – y 1 = m(x – x 1) Properties: Addition Property …
Linear Equations Cheat Sheet
Use the slope equation with the points to get a slope, then pick one of the two points and follow as above.
Formula Sheet 062816. University of Texas at Austin UT High School 1 . Coordinate Geometry Distance Formula: Slope of a line: 1: 2 1 2: x x y y m: − − = Midpoint Formula: Slope-Intercept Form of an Equation: y = mx + b: Standard Form of a Linear Equation: Ax + By = C : Point-Slope Form of an Equation: Perimeter and Circumference
ALGEBRA CHEAT SHEET LINEAR EQUATIONS 1) Point Slope Formula y – y 1 = m ( x – x 1) use when you have one point and the slope of the line if you have two known points, first find the slope and then apply this formula can be used for putting ordered pairs into standard form
Using the Slope Formula - Algebra-Class.com
Here you'll find a quick reference sheet with all of the formulas for slope. Let's start by identifying slope. The slope of a line defines the steepness of the line and whether the line rises or falls. The definition of slope is the rise divided by the run, written as: The slope is calculated by counting the rise and then counting the run.
Slope is the rate of change of the dependent variable “y” with respect to the independent variable “x”. To find the slope of a line pick two points from the line: 2 2 ). Put these points into the formula for slope . It does not matter which points you pick for point 1 and point 2 nor does it matter which formula you use.
Slope and Graphing Cheat Sheet | PDF - Scribd
This document provides a "cheat sheet" on slope and graphing key concepts. It defines slope as the constant rate of change and shows the formula to calculate it from two ordered pairs as the rise over the run. It outlines the slope-intercept form for non-proportional relationships and direct variation form for proportional relationships.