Question

What is the slope y+2=1/4(x-3)

Answer 1

`m=(1)/(4)`

Explanation:

Given

`y+2=(1)/(4)(x-3)`

Required

Find the slope

`y+2=(1)/(4)(x-3)`

Subtract 2 from both sides

`y+2-2=(1)/(4)(x-3) - 2`

`y=(1)/(4)(x-3) - 2`

Open bracket

`y=(1)/(4)x-(1)/(4)*3 - 2`

`y=(1)/(4)x-(3)/(4) - 2`

Take LCM

`y=(1)/(4)x+(-3 - 8)/(4)`

`y=(1)/(4)x+(-11)/(4)`

`y=(1)/(4)x-(11)/(4)`

An equation has the form:

`y = mx + b`

Where

`m = slope`

By comparing:
`y = mx + b` and
`y=(1)/(4)x-(11)/(4)`

`m=(1)/(4)`

So, the slope is 1/4