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Greeley [361]
3 years ago
14

Can someone help me with these problems? Please!

Mathematics
1 answer:
masya89 [10]3 years ago
3 0

Step-by-step explanation:

2) Slope can be written as rise over run:

  • rise: add to the y-value
  • run: add to the x-value

a) Slope=-1\ over\ 1\quad \rightarrow \quad (11 + 1, -8 - 1)\implies (12, -9)\\b) Slope=7\ over\ 2\quad \rightarrow \quad (2+2,2+7)\implies (4, 9)\\c) Slope=9\ over\ 4\quad \rightarrow \quad (-5+4,-2+9)\implies (-1, 7)

3) Slope formula is: \dfrac{y_2-y_1}{x_2-x_1}

slope=\dfrac{15-3}{5-1}=\dfrac{12}{4}=\boxed{3}

4) Average rate of change is the slope of the given interval:

a) when x = 0, y = 0 and when x = 1, y = -3

   Slope=\dfrac{-3-0}{1-0}=\dfrac{-3}{1}=-3

b) when x = -2, y = 0 and when x = -1, y = 3

   Slope=\dfrac{3-0}{-1+2}=\dfrac{3}{1}=3

c) when x = 0, y = 0 and when x = 2, y = 0

   Slope=\dfrac{0-0}{2-0}=\dfrac{0}{2}=0

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