Honors Advanced Algebra II with Trigonometry Ms. Lee Linear Equations Honors Advanced Algebra II with Trigonometry Ms. Lee

Essential Stuff Essential Question Essential Vocabulary 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: equation containing x and/or y, where the exponent of both is 1. In a linear equation… Independent Variable is x Dependent Variable is y

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

Slope of Lines Given points (x1,y1) and (x2,y2): Slope is 0 if 0 on top, and undefined is 0 is on bottom. Slope = 0… Horizontal Line Slope = undefined… Vertical Line

Find the Slope Find the slope of the line that passes through the given points. 1. (-2,3), (5,1) 2. (8,5), (-2,-3) 3. (4,-6), (2,-6) 4. (-7,10), (1,-1) 5. (3,-5), (-8,-3) 6. (2,-5), (2,-8)

Linear Equations Point-Slope Form: y – y1 = m(x – x1) Point = (x1, y1) 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

Special Lines Horizontal Lines: y = constant Vertical Lines: x = constant Parallel Lines: two lines with same slope Perpendicular Lines: two lines with slopes that are opposite reciprocals

Homework Homework 1.3