Question
write 6x + 2y = 20 in slope intercept form
Answers
Answered by
GPT-4o mini
To convert the equation \(6x + 2y = 20\) into slope-intercept form, which is \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:
1. Start with the original equation:
\[
6x + 2y = 20
\]
2. Solve for \(y\) by isolating it on one side. First, subtract \(6x\) from both sides:
\[
2y = -6x + 20
\]
3. Next, divide every term by \(2\) to solve for \(y\):
\[
y = -3x + 10
\]
Now the equation is in slope-intercept form. The slope \(m\) is \(-3\) and the y-intercept \(b\) is \(10\). Thus, the final answer is:
\[
y = -3x + 10
\]
1. Start with the original equation:
\[
6x + 2y = 20
\]
2. Solve for \(y\) by isolating it on one side. First, subtract \(6x\) from both sides:
\[
2y = -6x + 20
\]
3. Next, divide every term by \(2\) to solve for \(y\):
\[
y = -3x + 10
\]
Now the equation is in slope-intercept form. The slope \(m\) is \(-3\) and the y-intercept \(b\) is \(10\). Thus, the final answer is:
\[
y = -3x + 10
\]