Question

What is the y-intercept (b) of the linear equation 2x – 3y = 9 ?
-2
-3
-4
-9​

Answer 1

Answer:

-9

Step-by-step explanation:

2x – 3y = 9

-x=9

x=-9

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Answer 2

The answer is - 3

Given: 2x – 3y = 9 _(1)  is a linear equation

To find: y - intercept of the given equation

Solution: To find y - intercept substitute x = 0 in given equation

x = 0 then (1) ⇒ 2(0) – 3y = 9  

⇒ 0 - 3y = 9

⇒  - y = 3

⇒ y = - 3

Therefore, y - intercept = - 3  

Another method  

Change the given equation into y = mx+c form

(1)  ⇒ 2x – 9 = 3y

    ⇒ y = $\frac{2x}{3} - \frac{9}{3}$

    ⇒ y = $\frac{2x}{3} - 3$  

y intercept = - 3  

Therefore, y - intercept = - 3  

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