LINEAR EQUATIONS Honors Algebra II with Trigonometry Mrs

LINEAR EQUATIONS Honors Algebra II with Trigonometry Mrs. Stacey

Essential Stuff Essential Question How do you write the equation of linear functions? Essential Vocabulary Linear Function Slope-Intercept Form Point-Slope Form Standard Form

Linear Functions A linear function is a function whose graph is a line. Linear equation: an equation containing x and/or y, where the exponent of both is 1

Linear Functions In a linear function, the value of y depends on x. So, y is the dependent variable and x is the independent variable.

Slope and Y-Intercept The slope is the constant rate of change. The y-intercept is the fixed, or initial value of the function and is denoted as the point (0, y) on the graph.

Domain and Range The set of all independent variables is called the domain of the function. The set of all dependent variables is called the range of the function.

Linear Equations To write a linear equation, you must have two pieces of information… 1. Point on the Line 2. Slope of the Line Slope isn’t always given so we may have to use given information to find it.

Slope of Lines

Finding Intercepts x-intercept(s): plug 0 in for y and solve for x. This is the point (x-intercept, 0) y-intercept(s): plug 0 in for x and solve for y. This is the point (0, y-intercept)

Linear Equations Point-Slope Form: y – y 1 = m(x – x 1) Point = (x 1, y 1) and slope = m Slope-Intercept Form: y = mx + b Slope = m and y-intercept = b Standard Form: Ax + By = C A, B, C = integers and A is positive

Homework: Homework 2. 3: Linear Equations