natalie893
contestada

The equation y - 2/3 = - 2 (x -1/4) is written in point-slope form. What is the equation in slope-intercept form?
A y = negative 2 x 1/6
B y = negative 2 x + 7/6
C y = negative 2 x + 5/12
D y = negative 2 x - 11/12

Respuesta :

zmcever

Answer:

B.

Step-by-step explanation:

y - 2/3 = -2 ( x - 1/4 )

You can find the slope-intercept by first distributing on the right side of the equation:

y - 2/3 = -2x - 1/2

Then add 2/3 to each side:

y = -2x + 7/6

B is your answer

Hope this helps!

Solution:

Note that:

  • Given equation: y - 2/3 = -2(x - 1/4)

Simplify the given equation to obtain your answer in slope intercept form.

  • y - 2/3 = -2(x - 1/4)
  • => y - 2/3 = -2x + 2/4
  • => y = -2x + 1/2 + 2/3
  • => y = -2x + 3/6 + 4/6
  • => y = -2x + 7/6

Option B is correct.