Question
Transform the linear equation 4x−8y=24
to slope-intercept form.(1 point)
Responses
4x−8y−24=0
4 x minus 8 y minus 24 equals 0
4x−8y=24
4 x minus 8 y equals 24
−8y=−4x+24
negative 8 y equals negative 4 x plus 24
y=12x−3
to slope-intercept form.(1 point)
Responses
4x−8y−24=0
4 x minus 8 y minus 24 equals 0
4x−8y=24
4 x minus 8 y equals 24
−8y=−4x+24
negative 8 y equals negative 4 x plus 24
y=12x−3
Answers
GPT-4o mini
To transform the equation \(4x - 8y = 24\) into slope-intercept form (\(y = mx + b\)), follow these steps:
1. Start with the original equation:
\[
4x - 8y = 24
\]
2. Isolate the term with \(y\) by moving \(4x\) to the right side:
\[
-8y = -4x + 24
\]
3. Divide every term by \(-8\) to solve for \(y\):
\[
y = \frac{-4}{-8}x + \frac{24}{-8}
\]
4. Simplify:
\[
y = \frac{1}{2}x - 3
\]
Thus, the equation in slope-intercept form is:
\[
y = \frac{1}{2}x - 3
\]
Among the options provided, none of them were correct, but you can rewrite your final equation if required. Is there anything else you would like to ask?
1. Start with the original equation:
\[
4x - 8y = 24
\]
2. Isolate the term with \(y\) by moving \(4x\) to the right side:
\[
-8y = -4x + 24
\]
3. Divide every term by \(-8\) to solve for \(y\):
\[
y = \frac{-4}{-8}x + \frac{24}{-8}
\]
4. Simplify:
\[
y = \frac{1}{2}x - 3
\]
Thus, the equation in slope-intercept form is:
\[
y = \frac{1}{2}x - 3
\]
Among the options provided, none of them were correct, but you can rewrite your final equation if required. Is there anything else you would like to ask?