Which function has the same y-intercept as the function y=2 /3x-3? a 2/3 x + 3y = -3 b -2/3 x + 3y = 6 c x + 4y = 12 d 6x - 7y = 21 pleaz answer im in a hurry

The equation of the function that has the same y-intercept as   is  . Both functions have the y-intercept of -3.

Recall:

Equation of a line in slope-intercept form is represented as: y = mx + b

y-intercept = b

m = slope

Given the function, ,

the y-intercept is -3

Rewrite each given option in the slope-intercept form to find which of the function has the same y-intercept value of -3 as in the function .

Option A:

Option B:

Option C:

Option D:

Therefore, the equation of the function that has the same y-intercept as   is  . Both functions have the y-intercept of -3.

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Option D.

Step-by-step explanation:

The given function is

Substitute x=0 in the given function to find the y-intercept.

The y-intercept of the given function is -3. We need to find the equation whose y-intercept is -3.

Substitute x=0 in the given each of the equations to find the y-intercepts of those equation.

First equation is

y-intercept is -1.

Second equation is

y-intercept is 2.

Third equation is

y-intercept is 3.

Fourth equation is

y-intercept is -3.

Therefore, the correct option is D.