Respuesta :
Answer:
3rd option
Step-by-step explanation:
The equation of a line in point slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Given
y - 4 = [tex]\frac{1}{4}[/tex] (x - 8)
with m = [tex]\frac{1}{4}[/tex] and (a, b) = (8, 4 )
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (8, 4) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = [tex]\frac{1}{4}[/tex] x + 2 ← equation in slope- intercept form
