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Write an equation for a line parallel to y= 1/2x +4 that goes through the point (3, 5)

A) y-3 = -2(x-5)

B) y-5 = -2(x-3)

C) y-3 = 1/2(x-5)

D) y-5 = 1/2(x-3)

Respuesta :

Answer:

D

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 )

y = [tex]\frac{1}{2}[/tex] x + 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Parallel lines have equal slopes

The equation ofa line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here (a, b) = (3, 5), thus

y - 5 = [tex]\frac{1}{2}[/tex](x - 3) → D

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