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anonymous

  • 5 years ago

slope intercept form of equation of line through points. through: (-5, -3), slope = 2/5

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  1. myininaya
    • 5 years ago
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    equation of a line can be written in the form (x-x_1)m=y_1-y

  2. myininaya
    • 5 years ago
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    oops (x-x_1)m=y-y_1

  3. myininaya
    • 5 years ago
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    we know m=2/5 and we know a point (x_1,y_1)=(-5,-3)

  4. myininaya
    • 5 years ago
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    (x-(-5))2/5=(y-(-3))

  5. myininaya
    • 5 years ago
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    (x+5)2/5=y+3

  6. myininaya
    • 5 years ago
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    2x/5+5*2/5=y+3

  7. myininaya
    • 5 years ago
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    2x/5+2=y+3

  8. myininaya
    • 5 years ago
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    subtract 3 on both sides to put it in the form y=mx+b

  9. anonymous
    • 5 years ago
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    okay

  10. myininaya
    • 5 years ago
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    y=2x/5-1

  11. anonymous
    • 5 years ago
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    i just dont understand how -5 and -3 turned into -1

  12. myininaya
    • 5 years ago
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    if we subtract 3 on both sides 2-3=-1

  13. anonymous
    • 5 years ago
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    of mx + b?

  14. myininaya
    • 5 years ago
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    no you were asking how i got -1 right?

  15. anonymous
    • 5 years ago
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    yea i understand the y= 2/5 x just not how u got -1 from (-5, -3)

  16. myininaya
    • 5 years ago
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    do you understand where I got 2x/5+2=y+3

  17. anonymous
    • 5 years ago
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    not the 2nd 2 and 3

  18. myininaya
    • 5 years ago
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    the point slope formula is (x-x_1)m=y-y_1 where in this case a line on this point is (x_1,y_1)=(-5,-3) and m=2/5 since that is the slope of this line

  19. myininaya
    • 5 years ago
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    so we have (x-(-5))*2/5=y-(-3)

  20. myininaya
    • 5 years ago
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    (x+5)*2/5=y+3

  21. myininaya
    • 5 years ago
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    Use distributive property we have 2x/5+5*2/5=y+3

  22. myininaya
    • 5 years ago
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    we want to put this in y=mx+b form which is the slope intercept form

  23. myininaya
    • 5 years ago
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    Since the above equation has y by itself we need to solve for y by subtracting 3 on both sides

  24. myininaya
    • 5 years ago
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    2x/5+2-3=y

  25. myininaya
    • 5 years ago
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    y=2x/5+2-3

  26. myininaya
    • 5 years ago
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    y=2x/5-1

  27. anonymous
    • 5 years ago
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    o okay now i understand thank u

  28. myininaya
    • 5 years ago
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    cool!

  29. amistre64
    • 5 years ago
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    the slope-intercept equation is: y = mx + b You know the slope, and they give you (x=-5,y=-3); so lets plug and play... -3 = (2/5)(-5) +b ; solve for "b". -3 = -2 + b -1 = b throw away your (-5,-3) and use the equation as it: y = (2/5)x - 1

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