Algebra 2 Slope
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This document discusses slope and linear equations. It defines slope as rise over run and provides examples of finding the slope between two points and using slope to find the equation of a line. It also discusses types of linear equations like slope-intercept form and standard form. Special cases of parallel and perpendicular lines are covered, where parallel lines have the same slope and perpendicular lines have slopes that are negative reciprocals of each other. Real world applications of slope like calculating rate of change are demonstrated.
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Here are the answers to the activity questions on page 216 of the study guide in one whole sheet of paper:
5. Kinetic energy (KE) varies jointly as mass (m) and the square of velocity (v2).
KE = kmv2
Given:
Mass (m) = 8 g
Velocity (v) = 5 cm/s
KE = 100 ergs
Find k:
100 ergs = k(8 g)(5 cm/s)2
100 ergs = k(8)(25)
100 ergs = 200k
k = 100/200 = 1/2
KE = kmv2
Given:
Mass (m) = 6 g
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5. Kinetic energy (KE) varies jointly as mass (m) and the square of velocity (v2).
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Algebra 2 Slope
- 2. Slope
- 4. Example 1 Find the slope between the points (1, 4) & (3, -4)
- 5. Types
- 6. 3 Biggies Slope Point Equation Slope Intercept y = mx + b Standard Form ax + by = c Linear Equations
- 7. Example 2 Find the equation of the line between the points (0, -4) & (13, 9)
- 8. Example 3 Find the equation of the line containing the point (-2, 6) and with a slope of 7
- 9. Try These • Find the equation of the line between ( 4, 3) & (5, 7) • Find the equation of the line with a y-int of 6 and slope of 5 in STANDARD form. y= 4x -13 5x –y=-6
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- 11. Rate of Change The volume of water in lake Eggbert was 8,000 cubic feet in October and 4,500 cubic feet in November. Find the average rate of change for the lake.
- 12. Special Cases
- 13. Parallel Lines
- 14. Parallel Lines Parallel lines have the same slope, but different y-intercepts y = 3x + 4 y= 3x -6
- 15. Perpendicular Lines y = 4x -2 y= -1/4 x -3
- 16. Example 4 Find the equation of the line containing the point (-1, 17) and parallel with the line y=3x-4
- 17. Sketch Pad
- 18. Example 5 Find the equation of the line containing the point (-8, -5) and perpendicular with the line 2x+5y =2.
- 19. Example 6 Find the equation of the line with x-int of 5 and parallel to the line (y-1)=5(x +2).