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Lesson 3-4 Equations of Lines. Ohio Content Standards:

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Presentation on theme: "Lesson 3-4 Equations of Lines. Ohio Content Standards:"— Presentation transcript:

1 Lesson 3-4 Equations of Lines

2 Ohio Content Standards:

3 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 y = mx + b, where m is the slope of the line and b is the y-intercept.

10 Point-Slope Form

11 y – y 1 = m (x – x 1 ), where (x 1, y 1 ) 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 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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