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MAT 150– Algebra Class #4

MAT 150– Algebra Class #4. Today’s Topics: Writing Equations of Lines Parallel/Perpendicular Average Rate of Change. Forms of Linear Equations. Writing the Equation of a Line. Write an equation for the line that passes through the point (- 1, -5) and has slope__________.

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MAT 150– Algebra Class #4

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  1. MAT 150– Algebra Class #4 Today’s Topics: Writing Equations of Lines Parallel/Perpendicular Average Rate of Change

  2. Forms of Linear Equations

  3. Writing the Equation of a Line • Write an equation for the line that passes through the point (-1, -5) and has slope__________. • Write an equation for the line that passes through the points (__, 3) and (2, __). • Write and equation for the line that pass through the point (-1, 5) and has a slope of ________. What would the equation be if the slope was undefined? • Write the equation of the line with slope of 4 and y-intercept of ____.

  4. Equations in Real-Life Internet Advertising The amount spent on Internet advertising was $22.7 billion in 2009 and is expected to grow at a rate of $2.25 billion per year for the next five years. • _____________________for the amount of Internet advertising spending as a function of the number of years after 2009. • Use the function to estimate the amount that will be spent on internet advertising in ____________.

  5. Ex 3: Parallel and Perpendicular Lines • Parallel Lines have the ___________ slope. • Perpendicular Lines have slopes that are __________ __________ of each other. Write the equation of the line through (____, ____) and parallel to the line with the equation _______________. Write the equation of the line through (___, _____) and perpendicular to the line with the equation ___________.

  6. Average Rate of Change The average rate of change of f(x) with respect to x over the interval from x = a to x = b (where a < b) is calculated as • The average rate of change between two points on its graph is the slope of the line joining the two point. Such a line is called a secant line.

  7. Average Rate of Change • For the function shown in the figure, find the average rate of change from point B to point A.

  8. Different Quotient Difference Quotient The average rate of the function f(x) from x to x+h is • For the function , find .

  9. Assignment Page 69-72

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