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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.)

Determine whether the statement is true or false If the statement is false make the necessary changes to produce a true statementThe line 9y 6x 4 has a yinterce class=

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ANSWER:

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

STEP-BY-STEP EXPLANATION:

We have the following equation:

[tex]9y=-6x+4[/tex]

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

[tex]\begin{gathered} y=mx+b \\ \\ \text{ b is the y-intercept } \\ \\ y=-\frac{6}{9}x+\frac{4}{9} \\ \\ y=-\frac{2}{3}x+\frac{4}{9} \\ \\ \text{ Therefore, the y-intercept s 4/9} \end{gathered}[/tex]

So the correct answer is:

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

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