Respuesta :

Answer:

y=2x-1

Step-by-step explanation:

up 2 right 1 for slope

y intercept is -1

Answer:

[tex] \boxed{(b) \: y = 2x - 1}[/tex]

Step-by-step explanation:

Find the gradient

( 2,3 ) and ( 0, -1)

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{ - 1 - 3}{0 - 2} = \frac{ - 4}{ - 2} = 2[/tex]

Gradient is 2

Find linear equation

y - y1 = m ( x - x1 )

y - 3 = 2 ( x - 2 )

y - 3 = 2x - 4

y = 2x - 4 + 3

[tex] \boxed{y = 2x - 1}[/tex]