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Could anyone answer and also provide explanation.​

Could anyone answer and also provide explanation.​-example-1

1 Answer

5 votes

Answer:

b

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

2x + 3y = 1 ( subtract 2x from both sides )

3y = - 2x + 1 ( divide all terms by 3 )

y = -
(2)/(3) x +
(1)/(3) ← in slope- intercept form

with y- intercept c =
(1)/(3) ← does not pass through the origin

(b)

2x + 3y = 0 ( subtract 2x from both sides )

3y = - 2x + 0 ( dividing all sides by 3 ), gives

y = -
(2)/(3) x + 0 ← in slope- intercept form

with y- intercept c = 0 ← passes through the origin

(c)

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide all terms by 3 )

y = -
(2)/(3) x + 2

with y- intercept c = 2 ← does not pass through the origin

User Morothar
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