Respuesta :

Answer:

[tex]y=\frac{1}{4} x+3[/tex]

Step-by-step explanation:

[tex]y-5=\frac{1}{4} (x-8)[/tex]

[tex]y=\frac{1}{4} x-2+5[/tex]

[tex]y=\frac{1}{4} x+3[/tex]

Hope this helps

Answer:

y = [tex]\frac{1}{4}[/tex] x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{1}{4}[/tex] , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

to find c substitute (8, 5 ) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = [tex]\frac{1}{4}[/tex] x + 3 ← equation of line