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Sagot :

Answer: The answer is y = 3x +4.

Answer:

option 4

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 ) = (3, 5) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = [tex]\frac{6-5}{6-3}[/tex] = [tex]\frac{1}{3}[/tex]

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

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