WELCOME Find your seat please Introduction to Pre

WELCOME! Find your seat please.

Introduction to Pre. Calculus Honors! ■ Personality Test ■ Syllabus ■ Student Handbook ■ Open Minded Questions

Solve the following. Try to find multiple solution paths! ■ In an all-adult apartment building, 2/3 of the men are married to 3/5 of the women. What fraction of the residents is married? ■ A farmer had hens and rabbits. These animals have 50 heads and 140 feet. How many hens and rabbits does the farmer have?

In an all-adult apartment building, 2/3 of the men are married to 3/5 of the women. What fraction of the residents is married?

A farmer had hens and rabbits. These animals have 50 heads and 140 feet. How many hens and rabbits does the farmer have?

LINES IN THE PLANE Section 1. 1

Objective and Relevance ■ Objective Review of Lines in a Plane ■ Purpose To be able to understand them and use them as a building block to more advanced concepts.

Slope The slope of a nonvertical line represents the number of units the line rises or falls vertically for each unit of horizontal change from left to right. It is the ratio of these two changes!

Find the Slope of the 2 Points (-2, 0) and (3, 1) (-1, 2) and (2, 2)

Slope of Vertical Lines The definition of slope does not apply to vertical lines. For instance, consider the points (3, 4) and (3, 1) shown on the graph below. Applying the slope formula you get Because division by zero is undefined, the slope of a vertical line is undefined.

Slope Generalizations

Point Slope Form If you know the slope of a line and you know the coordinates of one point on the line, you can find the equation of the line.

Find an equation of the line that passes through (1 -2) and has a slope of 3.

Don’t Panic About Fractions!!! ■

Linear Functions ■ Simplest Type of Function is of the form ■ Called Slope Intercept form. ■ The graph of a linear function is a LINE with a slope of m and a y-intercept at ■ Easier to graph in this format.

Basic Characteristics of a Linear Function Positive Slope Negative Slope

Find the slope and y-intercept and then graph the line.

Find the slope and y-intercept and then graph the line.

General Form ■

Summary of Equations of Lines

Parallel and Perpendicular Lines Parallel ■ Perpendicular

Find the slope-intercept form of the equation of the line that passes through (2, -1) and is PARALLEL to the line 2 x – 3 y = 5. What does the graph look like of these two lines?

Find the slope-intercept form of the equation of the line that passes through (2, -1) and is PERPENDICULAR to the line 2 x – 3 y = 5.

Class Practice – Time Permitting Find the equation of the line in the form Ax + By +C=0 : a. P(-3, 6) m = -2 b. P(-10, 4) m is undefined. c. P(-¼, ½) m = 0.

Class Practice Find the slope-intercept form of the equation of the line that passes through (4, 3) and (-4, -4).

Class Practice Write an equation of the line using slope-intercept form (a) parallel and (b) perpendicular to (-3. 9, -1. 4) through the line 6 x + 2 y = 4.

Class Practice Write an equation of the line using slope-intercept form (a) parallel and (b) perpendicular to (-4, 1) through the line y + 2 = 0.