nika001
contestada

Select the equation of the line in which the x-intercept is 2/9 and the y- intercept is 1.

A) y=-2/9x
B) y=-9/2 + 1
C) y=-2/9x-1
D) y=9/2 x

Please help me ASAP
Correct answer will be brainiest.

Respuesta :

"y = -9/2x + 1". (B)

Answer:

B

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 )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = ( [tex]\frac{2}{9}[/tex], 0 )

m = [tex]\frac{0-1}{\frac{2}{9} }[/tex] = - [tex]\frac{9}{2}[/tex]

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

y = - [tex]\frac{9}{2}[/tex] x + 1 → B