Answer :

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 )

given the equation

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

with slope m = [tex]\frac{1}{2}[/tex] and y- intercept c = 2

given a line with slope m

• if m > 0, then line slopes upwards from left to right

• if m < 0, then line slopes downwards from left to right

here m = [tex]\frac{1}{2}[/tex] > 0, so line slopes upwards from left to right

The only graph sloping upwards from left to right and crossing the y- axis at 2 is

graph D

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