1. Notes A7 Review of Linear Functions

2. Linear Functions Slope – Ex. Given the points (-4, 7) and (-2, -5) find the slope. Rate of Change m

3. Linear Functions Slope – Ex. Given the points (-4, 7) and (-2, -5) find the slope. Rate of Change m

4. a)Find the slope of the line passing through the given points: b) Fine the value of k so that the line through the given points has the given slope: (2, -3) and (k, 7); m = -2

5. a)Find the slope of the line passing through the given points: b) Fine the value of k so that the line through the given points has the given slope: (2, -3) and (k, 7); m = -2

6. Slope-intercept form of a Line: y = mx + b Ex. Graph: y = 3x – 2 Vertical Lines: Graph: x = 3 Slope of vertical line: Horizontal Lines: Graph y = -2 Slope of horizontal line:

7. Slope-intercept form of a Line: y = mx + b Ex. Graph: y = 3x – 2 Vertical Lines: Graph: x = 3 Slope of vertical line: Horizontal Lines: Graph y = -2 Slope of horizontal line: UNDEFINED ZERO (0)

8. Parallel Lines have the same slope: m 1 = m 2 Perpendicular Lines have slopes that are negative reciprocals:

9. Tell whether the lines are parallel, perpendicular, or neither: a)Line 1: through (-2, 2) and (0, -1) Line 2: through (-4,-1) and (2, 3)

10. Tell whether the lines are parallel, perpendicular, or neither: a)Line 1: through (-2, 2) and (0, -1) Line 2: through (-4,-1) and (2, 3) PERPENDICULAR

11. Tell whether the lines are parallel, perpendicular, or neither: b) Line 1: through (-4, -2) and (1, 7) Line 2: through (-1,-4) and (3, 5)

12. Tell whether the lines are parallel, perpendicular, or neither: b) Line 1: through (-4, -2) and (1, 7) Line 2: through (-1,-4) and (3, 5) NEITHER

13. Tell whether the lines are parallel, perpendicular, or neither: c) Line 1: through (1, 2) and (4, -3) Line 2: through (-4, 3) and (-1, -2)

14. Tell whether the lines are parallel, perpendicular, or neither: c) Line 1: through (1, 2) and (4, -3) Line 2: through (-4, 3) and (-1, -2) PARALLEL

15. Point-Slope Form of a Line: y – y 1 = m (x – x 1 ) Ex. Find the equation of a line in point slope form that passes through the points (4, -2) and (1, 3).

16. Point-Slope Form of a Line: y – y 1 = m (x – x 1 ) Ex. Find the equation of a line in point slope form that passes through the points (4, -2) and (1, 3). or

17. Graph:

19. Standard Form of a Line: Ax +By = C where A, B, and C are all relatively prime integers, A > 0 Ex. Transform the previous equation to Standard Form POSITIVE!!!

20. Standard Form of a Line: Ax +By = C where A, B, and C are all relatively prime integers, A > 0 Ex. Transform the previous equation to Standard Form POSITIVE!!! 5x + 3y = 14

21. Notes A8 Forms of Linear Equations

22. Parallel Lines: Ex. Find the equation of a line in slope-intercept form that passes through (-3, 4) and is parallel to

23. Parallel Lines: Ex. Find the equation of a line in slope-intercept form that passes through (-3, 4) and is parallel to Point-slope form: Slope-intercept form:

24. Parallel Lines: Ex. Find the equation of a line in slope-intercept form that passes through (-3, 4) and is parallel to Point-slope form: Slope-intercept form:

25. Parallel Lines: Ex. Find the equation of a line in slope-intercept form that passes through (-3, 4) and is parallel to Point-slope form: Slope-intercept form:

26. Perpendicular Lines: Ex. Find the equation of a line in slope-intercept form that is perpendicular to 2x + 4y = -8 and goes through the point (-3, 4).

27. Perpendicular Lines: Ex. Find the equation of a line in slope-intercept form that is perpendicular to 2x + 4y = -8 and goes through the point (-3, 4). Slope for new line: Point-slope form: Slope-intercept form: