1. Honors Algebra II with Trigonometry Mrs. Stacey
Linear Equations
Honors Algebra II with Trigonometry
Mrs. Stacey

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: an equation containing x and/or y, where the exponent of both is 1

4. 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.

5. 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.

6. 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.

7. 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.

8. Slope of Lines Given points (x1,y1) and (x2,y2):
Remember 𝟎 𝟏 =𝟎 and 𝟏 𝟎 =𝒖𝒏𝒅𝒆𝒇𝒊𝒏𝒆𝒅

9. 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)

10. 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

11. Homework 2.3: Linear Equations