Se está descargando tu SlideShare. ×

# QUARTER-I-MOD-5-L-3-SLOPE-OF-A-LINE-given-two-points.pptx

Anuncio
Anuncio
Anuncio
Anuncio
Anuncio
Anuncio
Anuncio
Anuncio
Anuncio
Anuncio
Anuncio
Próximo SlideShare
Slope of a line
Cargando en…3
×

1 de 20 Anuncio

# QUARTER-I-MOD-5-L-3-SLOPE-OF-A-LINE-given-two-points.pptx

Slope of a line

Slope of a line

Anuncio
Anuncio

Anuncio

### QUARTER-I-MOD-5-L-3-SLOPE-OF-A-LINE-given-two-points.pptx

1. 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.
2. 2. + -ain Mount Mayon +
3. 3. + Chocolate Hills -C
4. 4. + Mount Everest + -ain -ready -ba
5. 5. + Rice Terraces +
6. 6. + Stairway
7. 7. SLOPE OF A LINE
8. 8. 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.
9. 9.  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
10. 10. 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
11. 11. 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
12. 12. 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
13. 13. 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
14. 14. 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
15. 15. 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
16. 16. 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…
17. 17. 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.