1. 2.2: Linear Equations

2. Graphing Linear Equations y is called the dependent variable because the value of y depends on x x is called the independent variable Will this be a function??

3. Standard Form Standard form of a linear equation is Ax + By = C, where A, B, and C are real numbers and A, B ≠ 0. Graph linear equations in standard form by finding the x- and y- intercepts

4. More Practice Ex3) The equation 3x + 2y = 120 models the number of passengers who can sit in a train car, where x is the number of adults and y is the number of children. Graph the equation. Explain what the x- and y- intercepts represent. Describe the domain and range.

5. Point-Slope Form The line through the point (x 1, y 1 ) with slope m has the equation y – y 1 = m(x – x 1 )

6. Point-Slope Form The line through the point (x 1, y 1 ) with slope m has the equation y – y 1 = m(x – x 1 ) Ex7) Find the equation of a line through the points (-2, 3) and (1, 6). Then write it in standard form.

7. Slope-Intercept Form y = mx + b Ex8) What is the slope of the line 4x + 6y = 18? What is the slope of: a horizontal line? a vertical line? parallel lines? perpendicular lines?

8. Perpendicular Lines Ex9) Write an equation of the line through (5, –3) and perpendicular to y = 4x + 1. Graph both lines.

9. Exit Problems: 1.Determine the slope, and the x- and y- intercepts of each of the functions 2.Write the equation in both standard and y-intercept form 3.Graph the equations

10. Exit Problems: 1.Determine the slope, and the x- and y- intercepts of each of the functions 2.Write the equation in both standard and y-intercept form 3.Graph the equations

11. Exit Problems: 1.Determine the slope, and the x- and y- intercepts of each of the functions 2.Write the equation in both standard and y-intercept form 3.Graph the equations

12. Special Lines:

14. 2.2: Linear Equations Our greatest glory is not in never falling, but in getting up every time we do. Homework #10 Pg 67 # 2-14 even, 20 – 34 even, 37, 42, 54