Section 3-5: Lines in the Coordinate Plane Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems and write proofs.

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Section 3-5: Lines in the Coordinate Plane Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems and write proofs.

Check homework: Mixed Review. P 150 Worksheet: Applying Parallel Lines to Polygons Complete Check Skills: p 152 (1 – 4)

Essential Questions 1.How are the slopes of lines found? 2. How are linear equations using the intercepts method and the slope- intercept method graphed? 3. How is the equation of a line written given information about the graph?

Slope of a line m = The slope of the graph of the linear equation Ax + By = C, (B  0), is - A. B

x- and y- intercepts

Standard Form: The graph of any equation that can be written in the form Ax + By = C where A and B are not both zero, is a line. (*Note: A, B, and C are integers.) Slope – Intercept Form: A line with the equation y = mx + b has slope m and y-intercept b Point – Slope Form: An equation of the line that passes through the point (x 1, y 1 ) and has slope m is y – y 1 = m ( x – x 1 ).

Worksheet: Writing Linear Equations Board Examples: 1. 3x + 4y = y = -2x x – 3y = 6 4. y = -1/4 x y = -3 Guided Practice

Examples: p 155:

Do p 155: # 25, 27, 31 Independent Practice: Practice 3 – 5: # 1, 17, 25, 33, 38 Homework: Writing Linear Equations Worksheet