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Semelhante a QUARTER-I-MOD-5-L-3-SLOPE-OF-A-LINE-given-two-points.pptx
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QUARTER-I-MOD-5-L-3-SLOPE-OF-A-LINE-given-two-points.pptx
- 1. MELC: At the end of the lesson, the learners should be able to: SLOPE OF A LINE 1. illustrate and find the slope of a line given two points; 2. illustrate and find the slope of a line given its graph.
- 7. + Stairway
- 9. SLOPE OF A LINE
- 10. The slope of a line is the measure of the steepness and the direction of the line. It is defined as the change in y coordinate with respect to the change in x coordinate of that line.
- 11. The graph of linear equations is a straight line; it has a constant slope. Slope of a line (m) m = 𝒗𝒆𝒓𝒕𝒊𝒄𝒂𝒍 𝒓𝒊𝒔𝒆 𝒉𝒐𝒓𝒊𝒛𝒐𝒏𝒕𝒂𝒍 𝒓𝒖𝒏 ; m = 𝒔𝒕𝒆𝒆𝒑𝒏𝒆𝒔𝒔 𝒅𝒊𝒓𝒆𝒄𝒕𝒊𝒐𝒏 ; m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 m = 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒚 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒙 ; m = ∆𝒚 ∆𝒙 𝒍𝒊𝒏𝒆 𝑨 𝒍𝒊𝒏𝒆 𝑩 Line A is steeper than Line B
- 12. FINDING THE SLOPE OF A LINE: a. given two points m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 where m= slope 𝑥1, 𝑦1 - coordinate of one point 𝑥2, 𝑦2 - coordinate of another point Find the slope of a line passing through points ( 1, 3) and ( 5, 6 ) 𝒚𝟏 𝒚𝟐 𝒙𝟐 𝒙𝟏 m = 𝒚𝟐 − 𝒚𝟏 𝒙𝟐 − 𝒙𝟏 m = 𝟑 𝟒 𝟓 𝟔 − 𝟑 − 𝟏
- 13. Find the slope of a line passing through points ( -5, -3) and ( 4, 1 ) 𝒚𝟐 𝒙𝟏 𝒙𝟐 𝒚𝟏 m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 𝟏 −(-3) 𝟒−(-5) 𝟏 + 𝟑 𝟒 + 𝟓 𝟒 𝟗 Find the slope of a line passing through points ( 2, 2) and ( -1, -3 ) 𝒙𝟏 𝒙𝟐 𝒚𝟐 𝒚𝟏 m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 −𝟑 −𝟐 −𝟏− 𝟐 −𝟓 −𝟑 POSITIVE SLOPE The line RISES from left to right
- 14. Find the slope of a line passing through points ( -3, 4) and ( 3, -2 ) 𝒚𝟐 𝒙𝟏 𝒙𝟐 𝒚𝟏 m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 −𝟐 − 4 𝟑 − (-3) − 𝟔 𝟑 + 𝟑 −𝟔 𝟔 Find the slope of a line passing through points ( 2, 5) and ( 6, 2 ) 𝒙𝟏 𝒙𝟐 𝒚𝟐 𝒚𝟏 m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 −𝟑 𝟒 NEGATIVE SLOPE The line FALLS from left to right 𝒐𝒓 − 𝟏 𝟐 − 𝟓 𝟔 − 𝟐
- 15. Find the slope of a line passing through points ( 5, 4) and ( 5, -2 ) 𝒚𝟐 𝒙𝟏 𝒙𝟐 𝒚𝟏 m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 −𝟐 − 4 𝟓 − 5 − 𝟔 𝟎 Find the slope of a line passing through points ( -1, 5) and ( -1, -2 ) 𝒙𝟏 𝒚𝟐 𝒚𝟏 m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 −𝟐−𝟓 −𝟏 −(−𝟏) −𝟕 −𝟏 + 𝟏 UNDEFINED or NO SLOPE The line is VERTICAL and is parallel to the y-axis m = 𝒖𝒏𝒅𝒆𝒇𝒊𝒏𝒆𝒅 𝒐𝒓 𝑵𝑶 𝑺𝑳𝑶𝑷𝑬 −𝟕 𝟎 m = 𝒖𝒏𝒅𝒆𝒇𝒊𝒏𝒆𝒅 𝒐𝒓 𝑵𝑶 𝑺𝑳𝑶𝑷𝑬 𝒙𝟐
- 16. Find the slope of a line passing through points ( -3, -3) and ( 5, -3 ) 𝒚𝟐 𝒙𝟏 𝒙𝟐 𝒚𝟏 m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 −𝟑−(-3) 𝟓 − (-3) + 𝟑 𝟓 + 𝟑 𝟎 𝟖 Find the slope of a line passing through points ( -2, -2) and ( 4, -2 ) 𝒙𝟏 𝒙𝟐 𝒚𝟐 𝒚𝟏 m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 −𝟐−(−𝟐) 𝟒 − (−𝟐) −𝟐 𝟒 ZERO SLOPE 𝒐𝒓 𝟎 −𝟑 The line is HORIZONTAL and is parallel to the x - axis + 𝟐 + 𝟐 𝟎 𝟔 𝒐𝒓 𝟎
- 17. Figure A Figure B Figure C Rising from left to right Horizontal line parallel to the x-axis Falling from left to right Figure C Figure A Figure B Figure D Vertical line parallel to the y-axis Figure D POSITIVE SLOPE NEGATIVE SLOPE UNDEFINED SLOPE ZERO SLOPE
- 18. Let’s Sing and Dance To the right, to the right, POSITIVE SLOPE To the left, to the Left, NEGATIVE SLOPE Horizontal, ZERO Vertical, UNDEFINED…
- 19. SEATWORK 1. Find the slope of a line passing through points ( 3, 1) and ( 5, 4). Graph the line. 2. Find the slope of a line passing through points ( 6, 2) and ( 6, 5). Graph the line.