Question

Using the given points, determine Δ y . Type a numerical answer in the space provided. ( − 3 , − 5 ) and ( 0 , 10 )

Answer 1

`\Delta y=15`

Explanation:

So we have the two points: (-3,-5) and (0,10).

And we want to find Δy.

Remember that Δy is just the difference between the y-coordinates. So:

`\Delta y=y_2-y_1`

So, let's let (-3,-5) be (x₁, y₁) and let's let (0,10) be (x₂, y₂). So, we will substitute 10 for y₂ and -5 for y₁. Therefore:

`\Delta y=(10)-(-5)`

Simplify:

`\Delta y=10+5`

Add:

`\Delta y=15`

So, Δy is 15.

However, this is not the only solution. If we let (0,10) be (x₁, y₁) and (-3,-5) be (x₂, y₂), then our answer will be:

`\Delta y=(-5)-(10)`

Subtract:

`\Delta y=-15`

Both of the answers are correct. It just depends on how you view the points. Regardless, when typing in your answer, both of these should be accepted, so just keep that in mind!