4.5 Point-Slope form of a linear equation

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Presentation transcript:

4.5 Point-Slope form of a linear equation If a line passes through (2, -4) and has a slope of 5, write the point-slope form of the equation of the line.

Try this one If a line passes through (-2,0) and has a slope of -3/2, write the point-slope form of the equation of the line.

Horizontal & Vertical Lines Horizontal Lines Slope = 0 The equation of the line is y = # Point-slope form: y - # = 0 Vertical Lines Slope = undefined The equation of the line is x = # There is no point-slope form

Standard Form of a Linear Equation Ax + By = C A, B, and C are integers (numbers). A is not a fraction, decimal, or negative. A or B can be zero but not both.

Standard Form: Ax + By = C Given: y + 4 = 5(x – 2) Write it in Standard Form Distribute Subtract 4 from both sides Subtract 5x Change all signs so A is not negative.

Write it in slope-intercept form Given: Distribute Subtract 3

Try These ~ Page 223 #1, 5, 8 1. y – 3 = -2(x -1) 5. 3x + 4y = -9