ImaMermaid29
  • ImaMermaid29
Which functions have a positive rate of change and which have a negative rate of change? Column A 1. 2x − 5y = −15 2. y = −4x + 9 3. x y 2 –10 4 –16 6 –22 4. x y –3 15 –2 11 –1 7 Column B A. positive B. negative
Mathematics
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SOLVED
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katieb
  • katieb
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ImaMermaid29
  • ImaMermaid29
i think the 3rd one is negative and the 4th one is positive
ImaMermaid29
  • ImaMermaid29
@campbell_st do you know this?
campbell_st
  • campbell_st
yes... its all about the slope of the line. if the slope is positive then the line has positive rate of change. same for negative rate of change

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ImaMermaid29
  • ImaMermaid29
was i right about 3 & 4 ?
campbell_st
  • campbell_st
so for the 1st 2 equations may y the subject of the equation so its in the form y = mx + b m is the slope
campbell_st
  • campbell_st
for 3 and 4 you need the slope formula so just pick to points in 3 if I choose (4, -16) and (6, -22) the slope is \[m = \frac{-22 -(-16)}{6 - 4}\] does that result in a positive number.
ImaMermaid29
  • ImaMermaid29
yes
campbell_st
  • campbell_st
and in 4 if I pick (-3, 15) and (-1, 7) does \[m = \frac{15 - 7}{-3 -(-1)}\] result in a positive or negative number.
ImaMermaid29
  • ImaMermaid29
negative
ImaMermaid29
  • ImaMermaid29
1, negative 2, positive ??

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