Final answer:
To write the equation 8x+12y=108 in slope-intercept form, subtract 8x from both sides and divide by 12 to solve for y. The slope-intercept form of the equation is y = (-2/3)x + 9.
Step-by-step explanation:
To write the equation 8x+12y=108 in slope-intercept form, which is y=mx+b, we need to solve for y.
First, let's isolate y by subtracting 8x from both sides of the equation:
12y = -8x+108
Next, divide both sides of the equation by 12 to solve for y:
y = (-8/12)x + 9
Now, we can simplify the equation by reducing the fraction: y = (-2/3)x + 9.
This is the slope-intercept form of the equation.
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