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bija089 [108]
2 years ago
13

Which function has the same y-intercept as the function y=2 /3x-3?

Mathematics
2 answers:
lord [1]2 years ago
7 0

Answer:

D has the same y-intercept

Step-by-step explanation:

<em>y-intercept of the function in the question is -3.</em>

<u>A) 2/3 x + 3y = -3</u>

<em>Make y the subject</em>

3y = -2/3x-3

y = -2/9-1

<em>The y-intercept is -1; it is not the same.</em>

<u>B) -2/3 x + 3y = 6</u>

<em>Make y the subject</em>

3y = 2/3x + 6

y = 2/9x + 2

<em>The y-intercept is 2; it is not the same.</em>

<u>C) x + 4y = 12</u>

<em>Make y the subject</em>

4y = -x + 12

y = -x + 3

<em>The y-intercept is +3; it is not the same.</em>

D) 6x - 7y = 21

Make y the subject

7y = 6x - 21

y = 6/7x - 3

The y-intercept is -3; it is the same.

Therefore, option D has the same y-intercept as the function given in the question.

miskamm [114]2 years ago
4 0

Answer:

Option D.

Step-by-step explanation:

The given function is

y=\frac{2}{3}x-3

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

y=\frac{2}{3}(0)-3=-3

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

\frac{2}{3}x+3y=-3

\frac{2}{3}(0)+3y=-3

3y=-3

y=-1

y-intercept is -1.

Second equation is

-\frac{2}{3}x+3y=6

-\frac{2}{3}(0)+3y=6

3y=6

y=2

y-intercept is 2.

Third equation is

x+4y=12

(0)+4y=12

4y=12

y=3

y-intercept is 3.

Fourth equation is

6x-7y=21

6(0)-7y=21

-7y=21

y=-3

y-intercept is -3.

Therefore, the correct option is D.

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