How do you find the y intercept for 8x + 4y = 24?

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How do you find the y intercept for 8x + 4y = 24?

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Answer 1 · 2015-09-18T18:54:20

$b = 6$ $b = 6$

Explanation:

The y intercept is the value of the function when the curve intercepts the y-axis, or, in other terms, $f (0)$ $f(0)$ .

While we're more used to dealing with lines in the form of $y = a x + b$ $y = ax + b$ it's the same concept with lines in that form.

Substitute $x$ $x$ for $0$ $0$
$8 x + 4 y = 24$ $8x + 4y = 24$
$8 \cdot 0 + 4 y = 24$ $8*0 +4y = 24$
$4 y = 24$ $4y = 24$

Isolate $y$ $y$
$y = \frac{24}{4} = 6$ $y = 24/4 = 6$

And there you go, the y intercept is $6$ $6$ .

Or, you can put in an easy to recognize way we're more used to, isolate y without substituting the x, to make the function more traditional, i.e.: in the form of $y = a x + b$ $y = ax+b$
$8 x + 4 y = 24$ $8x + 4y = 24$
$4 y = 24 - 8 x$ $4y = 24 - 8x$
$y = \frac{24 - 8 x}{4}$ $y = (24 - 8x)/4$
$y = \frac{4 \cdot (6 - 2 x)}{4}$ $y = (4*(6-2x))/4$
$y = 6 - 2 x \to y = - 2 x + 6$ $y = 6 - 2x rarr y = -2x + 6$

We know $a$ $a$ is the slope and $b$ $b$ is the y-intercept without even having to substitute. But it's good to know both ways because sometimes it's just easier to do it the other way. Like it was this time.

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How do you find the y intercept for 8x + 4y = 24?

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