Question

Which linear function represents the line given by the point-slope equation y-8= 1/2(x-4)

Answer 1

y - 8 = (1/2)(x - 4)

y - 8 = 0.5*x - 0.5*4

y - 8 = 0.5x - 2

y = 0.5x - 2 + 8

y = 0.5x + 6 is the linear function.

Answer 2

`y=(1)/(2)x+6`

Explanation:

we know that

the equation of the line into point slope form is equal to

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

In this problem we have

`y-8=(1)/(2)(x-4)`

The linear function represent a line that

the slope is equal to
`m=(1)/(2)`

and passes through the point
`(4,8)`

Simplify

`y=(1)/(2)x-2+8`

`y=(1)/(2)x+6` ------> equation of the line in slope-intercept form