Question

Which of the following are equations for the line shown below? Check all that

apply
D: y-2=2.5(x-5)

Answer 1

Option A
`y+5=2.5(x+2)`

Option B.
`y-5=2.5(x-2)`

Explanation:

step 1

Find the slope of the given line shown in the figure

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

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

we have the points

(-2,-5) and (2,5)

substitute

`m=(5+5)/(2+2)`

`m=(10)/(4)=2.5`

step 2

Find the equation of the line in point slope form

`y-y1=m(x-x1)`

Part a) we have

`m=2.5`

`point\ (-2,-5)`

substitute

`y+5=2.5(x+2)`

Part b) we have

`m=2.5`

`point\ (2,5)`

substitute

`y-5=2.5(x-2)`