Question

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

Answer 1

Answer:

$y=\frac{1}{2}x+6$

Step-by-step 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

$y-8=\frac{1}{2}(x-4)$

The linear function represent a line that

the slope is equal to $m=\frac{1}{2}$

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

Simplify

$y=\frac{1}{2}x-2+8$

$y=\frac{1}{2}x+6$ ------> equation of the line in slope-intercept form

Answer 2

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.