Respuesta :

Answer:

Step-by-step explanation:

divide 4 and 2 then add 2 and 1

Answer:

y = - 4x + 17

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 ) = (4, 1) and (x₂, y₂ ) = (2, 9)

m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 1) , then

1 = - 16 + c ⇒ c = 1 + 16 = 17

y = - 4x + 17 ← equation of line