Respuesta :

Answer:

A

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, 4) ← 2 points on the line

m = [tex]\frac{4-1}{4-0}[/tex] = [tex]\frac{3}{4}[/tex]

The line crosses the y- axis at (0, 1) ⇒ c = 1

y = [tex]\frac{3}{4}[/tex] x + 1 → A

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