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Slope-intercept form of an equation is y = mx + b, where is the slope and is the y-intercept. 

To put this equation in the form of y = mx + b, we have to isolate the y. Here's how:
[tex]4x + 2y=24 \\ (4x + 2y)-4x=(24)-4x \\ 2y=-4x+24 \\ (2y)/2=(-4x+24)/2 \\ y= \frac{-4}{2}x + \frac{24}{2} \\ y=-2x+12[/tex]

In slope-intercept form, the equation is y = -2x + 12.

Hope this helps!

The slope intercept form of the linear equation is y = -2x + 12

The slope intercept form of an equation is represented as follows:

y = mx + c

where

m = slope

c = y-intercept

Therefore,

4x + 2y = 24

2y = -4x + 24

divide both sides by 2

2y / 2 = -4x /2 + 24 / 2

y = -2x + 12

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