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

Question

contestada

Respuesta :

olemakpadu olemakpadu · Answer 1 · 2016-07-09T08:42:01+02:00

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 Link

calculista calculista · Answer 2 · 2018-12-02T03:17:58+01:00

Answer:

[tex]y=\frac{1}{2}x+6[/tex]

Step-by-step explanation:

we know that

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

[tex]y-y1=m(x-x1)[/tex]

In this problem we have

[tex]y-8=\frac{1}{2}(x-4)[/tex]

The linear function represent a line that

the slope is equal to [tex]m=\frac{1}{2}[/tex]

and passes through the point [tex](4,8)[/tex]

Simplify

[tex]y=\frac{1}{2}x-2+8[/tex]

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