Answer:
y-intercept = -6
Step-by-step explanation:
y-intercept is the value of "y" where a line meets the Y coordinate.
<u>The equation of the line</u>
The linear function given to us is a straight line of equation:

We have two methods to determine the y intercept of the given line
<h3>Method #1</h3>
(Intercept form)
The intercept form will benefit us with not only the y-intercept but also the x-intercept.
If a line makes an x-intercept "a" and a y-intercept "b", it's equation in intercept form is given by:
. . . . . . . .. . . (¡)
Our main motive here is to get a 1 on one side and have separate denominators for x and y.
<u>PROCESSING OUR CONVERSION:</u>
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<em>taking 24 to the denominator on the LHS:</em>
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<em>reducing the fractions to their simplest form:</em>
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<em>getting a plus in between the two fractions and taking the leftover minus to 6 of " </em>
"
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On comparing it with eqn. (¡), we get
a = 8 and b = -6
which are the x and y intercepts respectively
Since, the question's only asked for the y-intercept
<u>ANSWER:</u>
y-intercept = <u>- 6 </u>
<em>- - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - </em>
<h3>Method #2</h3>
(slope-intercept form)
The given equation is in standard form. To convert it into slope-intercept you simply have to isolate y.
<u>CONVERSION:</u>

<em>taking y to the RHS and getting 24 to the LHS</em>
<em>[NOTE: Signs change in doing so]</em>
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<em>dividing both the sides by 4</em>
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This is the equation in slop-intercept form!
When a line meets the Y-axis it's x coordinate becomes 0.
[<em>Check the attachment</em>]
<em>Substituting x with 0</em>
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<u>ANSWER:</u>
x is 0 when y is -6.
Implies that the y intercept of the line is<u> -6 </u>
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