Question

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Determine whether his calculation was correct or incorrect, and then explain why. (2 points: 1 for the
answer, 1 for the explanation)
Points: (60.900). (15, 450)
Slope - 900-450/60-15=450/45=10

Answer 1

It is correct but the order is wrong.

Explanation:

m= y2 - y1

x2 - x1

Answer 2

Ernest's calculation was correct

Explanation:

we know that

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have the points

A(60,900),B(15,450)

Remember that

`m_A_B=m_B_A`

step 1

Find
`m_A_B`

substitute in the formula

`m_A_B=(450-900)/(15-60)`

`m_A_B=(-450)/(-45)=10`

step 2

Find
`m_B_A`

substitute in the formula

`m_B_A=(900-450)/(60-15)`

`m_B_A=(450)/(45)=10`

therefore

Ernest's calculation was correct, because
`m_A_B=m_B_A`