Question

Determine whether the statement is true or false. If the statement is false, make the necessary changes to produce a true statement.The line 9y - 6x +4 has a y-intercept of 4.Select the correct answer below and, if necessary, fill in the answer box to complete your choice.True.False. The y-intercept is (Type an integer or a simplified fraction.)

Answer 1

2nd option: False. The y-intercept is 4/9

Explanation:

We have the following equation:

`9y=-6x+4`

The equation in its y-intercept form is totally alone, the coefficient is 1, therefore, we solve for y:

`\begin{gathered} y=mx+b \\ \\ \text{ b is the y-intercept } \\ \\ y=-(6)/(9)x+(4)/(9) \\ \\ y=-(2)/(3)x+(4)/(9) \\ \\ \text{ Therefore, the y-intercept s 4/9} \end{gathered}`

So the correct answer is:

2nd option: False. The y-intercept is 4/9