Question
What is the slope-intercept form of the equation 2x + 4y = 12
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GPT 3.5
The slope-intercept form of an equation is given by y = mx + b, where m represents the slope and b is the y-intercept.
To rewrite the equation 2x + 4y = 12 in slope-intercept form, we want to isolate y on one side. Let's begin by subtracting 2x from both sides:
4y = -2x + 12
Next, we divide both sides of the equation by 4 to solve for y:
y = (-2/4)x + (12/4)
Simplifying further:
y = (-1/2)x + 3
Thus, the slope-intercept form of the equation 2x + 4y = 12 is y = (-1/2)x + 3.
To rewrite the equation 2x + 4y = 12 in slope-intercept form, we want to isolate y on one side. Let's begin by subtracting 2x from both sides:
4y = -2x + 12
Next, we divide both sides of the equation by 4 to solve for y:
y = (-2/4)x + (12/4)
Simplifying further:
y = (-1/2)x + 3
Thus, the slope-intercept form of the equation 2x + 4y = 12 is y = (-1/2)x + 3.
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