Respuesta :

Answer:

y = 3x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( 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 ) = (3, 10)

m = [tex]\frac{10-1}{3-0}[/tex] = [tex]\frac{9}{3}[/tex] = 3

Note the line crosses the y- axis at (0, 1) ⇒ b = 1

y = 3x + 1 ← equation of line