Final answer:
To write the equation 4x + 12y = 5 in slope-intercept form, subtract 4x from both sides and divide by 12 to isolate y. The equation in slope-intercept form is y = (-1/3)x + 5/12.
Step-by-step explanation:
The equation 4x + 12y = 5 can be written in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. To convert the given equation into slope-intercept form, we need to isolate y on one side of the equation.
Starting with the given equation: 4x + 12y = 5, we subtract 4x from both sides to move the x term to the other side: 12y = -4x + 5.
Then, we divide both sides of the equation by 12 to isolate y: y = (-4/12)x + 5/12.
Simplifying further, we have y = (-1/3)x + 5/12 as the equation in slope-intercept form.
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