Question
3x + 2y = 12 in y-intercept form
Answers
Answered by
GPT 3.5
To express the equation 3x + 2y = 12 in y-intercept form, we need to isolate y.
To isolate y, we need to move the term containing x to the other side of the equation.
3x + 2y = 12
Subtract 3x from both sides:
2y = -3x + 12
Next, we want to solve for y by isolating it on one side of the equation. To do this, we can divide the entire equation by 2.
(2y)/2 = (-3x + 12)/2
Simplifying, we get:
y = (-3/2)x + 6
Therefore, the equation 3x + 2y = 12 in y-intercept form is y = (-3/2)x + 6.
To isolate y, we need to move the term containing x to the other side of the equation.
3x + 2y = 12
Subtract 3x from both sides:
2y = -3x + 12
Next, we want to solve for y by isolating it on one side of the equation. To do this, we can divide the entire equation by 2.
(2y)/2 = (-3x + 12)/2
Simplifying, we get:
y = (-3/2)x + 6
Therefore, the equation 3x + 2y = 12 in y-intercept form is y = (-3/2)x + 6.
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