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

2. 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

3. 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

4. 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.

5. 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

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

7. 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

8. 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

9. Homework
Homework 1.3