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Equations of Lines and Rates of Change

Learn how to recognize angle relationships, solve linear equations, and write equations in different forms. Understand the concepts of slope, intercepts, and parallel and perpendicular lines. Apply these skills to solve problems and interpret rates of change.

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Equations of Lines and Rates of Change

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  1. Lesson 3-4 Equations of Lines

  2. Ohio Content Standards:

  3. Ohio Content Standards: Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.

  4. Ohio Content Standards: Solve and graph linear equations and inequalities.

  5. Ohio Content Standards: Write and use equivalent forms of equations and inequalities in problem situations; e.g., changing a linear equation to the slope-intercept form.

  6. Ohio Content Standards: Describe and interpret rates of change from graphical and numerical data.

  7. Ohio Content Standards: Recognize and explain that the slopes of parallel lines are equal and the slopes of perpendicular lines are negative reciprocals.

  8. Slope-Intercept Form

  9. Slope-Intercept Form y = mx + b, where m is the slope of the line and b is the y-intercept.

  10. Point-Slope Form

  11. Point-Slope Form y – y1 = m (x – x1), where (x1, y1) are the coordinates of any point on the line and m is the slope of the line.

  12. Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of -3.

  13. Write an equation in point-slope form of the line whose slope is -3/5 that contains (-10, 8).

  14. Write an equation in slope-intercept form for a line containing (4, 9) and (-2, 0).

  15. Write an equation in slope-intercept form for a line containing (1, 7) that is perpendicular to the line y = -1/2 x + 1.

  16. An apartment complex charges $525 per month plus a $750 security deposit.

  17. An apartment complex charges $525 per month plus a $750 security deposit. Write an equation to represent the total annual cost A for r months of rent.

  18. Assignment:Pgs. 148-150 16-42 evens, 56-70 evens

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