Graphing Linear Equations

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Presentation transcript:

Graphing Linear Equations

Chapter Sections 7.1 – The Cartesian Coordinate System and Linear Equations in Two Variables 7.2 – Graphing Linear Equations 7.3 – Slope of a Line 7.4 – Slope-Intercept and Point-Slope Forms of a Linear Equation 7.5 – Graphing Linear Inequalities 7.6 – Functions Chapter 1 Outline

Slope-Intercept and Point-Slope Forms of a Linear Equation

Slope-Intercept Form y = mx + b Examples: y = x + y = 4x – 4 In the slope-intercept form, the graph of a linear equation will always be a straight line in the form y = mx + b were m is the slope of The line and b is the y-intercept (0, b). slope y-intercept y = mx + b Examples: y = x + y = 4x – 4 slope is 4 y-intercept is (0, -6) y-intercept is (0, ) slope is

Slope-Intercept Form Write the equation -3x + 4y = 8 in slope-intercept form. Solve for y. 4y = 3x + 8 slope is  y-intercept is (0, 2)

Point-Slope Form Example: point (1, 3) and slope = 2: When the slope and a point on the line are known, we can use the point-slope form to determine the line. where m is the slope of the line and (x1, y1) is a point. Example: point (1, 3) and slope = 2: