Question

6 Rearrange the linear equation so that it is in slope interceptform. Identify the slope (m) and the intercept (b). You must show your work for full credit

X-4=2(y - 3)

Answer 1

`y=(1)/(2)x+1` is in the slope-intercept form.

so the slope will be:

• 
  `m=(1)/(2)x`

and y-intercept will be:

• b = 1

Explanation:

Given the equation

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

As we know that
`y = mx+b` is the slope-intercept form of a line where
`m` is the slope and
`b` is the y-intercept.

Converting to slope-intercept form

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

switching sides

`2\left(y-3\right)=x-4`

`2y-6=x-4`

`2y=x-4+6`

`2y=x+2`

`y=(1)/(2)x+1`

As
`y = mx+b` is the slope-intercept form of a line where
`m` is the slope and
`b` is the y-intercept.

Therefore,
`y=(1)/(2)x+1` is in the slope-intercept form.

so the slope will be:

• 
  `m=(1)/(2)x`

and y-intercept will be:

• b = 1