3.5 Notes

# 3.5 Notes - function notation Write an equation of the line...

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3.5 Equations of Lines Slope Intercept form: y = mx + b Where m = slope b = y-intercept Examples: Write an equation of the line with y-int (0, 1) and slope 2/3. Graph the line. Graph 3x + y = -2 Horizontal Lines y = b  Vertical Lines x = c Examples: Write an equation of the vertical line containing the point (-1,6) Write an equation of the line containing the point (4,7) with  slope 0.

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Homework: p. 189 #1-12, 34-46 Point-Slope Form: y – y 1  = m(x – x 1 ) When you know the slope of a line and a point on the line, use the point-slope form to  write the equation of the line. Example: Write an equation of the line with slope -2 and containing the point (2, -4).  Write the  equation in slope-intercept form. Write an equation of the line through points (3,0) and (-2,4).  Write the equation using
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Unformatted text preview: function notation. Write an equation of the line containing the point (-1,2) and parallel to the line 3x + y = 5. Write the equation in standard form. Write a function that describes the line containing the point (3,4) and perpendicular to the line 2x + 4y = 5. Real-world application: A company makes a profit of \$7,500 in its third year of business. The company’s profit increases each year at a constant rate, and the company makes \$12,000 the sixth year. A) Write an equation to model the company’s profit as a function of time. B) Predict the company’s profit in the tenth year. Homework: p. 189 #13-33 odd, 47-51 odd, 75, 77...
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3.5 Notes - function notation Write an equation of the line...

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