3.5 Write and Graph Equations of Lines

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Presentation transcript:

3.5 Write and Graph Equations of Lines Mrs. vazquez Geometry

g.gpe.5 Essential Question: How do I use m to write equations of lines? Objective: Students will be able to find equations of lines.

Forms Slope-Intercept Form Standard Form y = mx + b m = slope b = y-intercept Standard Form Ax + By = C A & B are both not zero

Reminders || lines have the same m ⊥ lines have opposite reciprocal m Standard Form Ax + By = C Slope-Intercept Form y = mx + b *values for m and b are required

Write a slope-intercept equation * find two coordinates to calculate slope * sub an ordered pair for the x and y values *solve for b *rewrite in slope-intercept form m = -2 using (1, 2) 2 = (-2)(1) + b 2 = -2 + b 4 = b y = -2x + 4

|| lines Write an equation of a line that passes through (1,5) and is || to the line with the equation y = 3x-5. * use the m of the given equation for the equation of the || line *sub the ordered pair for x and y values *solve for b *rewrite the equation m = 3 5 = (3)(1) + b 5 = 3 + b 2 = b y = 3x + 2

Graph the equation 2x - 3y = 6 *convert to slope-intercept form to create an equation to graph 2x - 3y = 6 -3y = -2x + 6 y = ⅔x - 2