Question
Find the intercepts for the graph of the equation given.
xplus6yequals0
xplus6yequals0
Answers
GPT-4o mini
To find the intercepts of the equation \( x + 6y = 0 \), we can follow these steps:
1. **Finding the x-intercept**: This is where the graph crosses the x-axis, so we set \( y = 0 \) and solve for \( x \).
\[
x + 6(0) = 0 \\
x = 0
\]
Therefore, the x-intercept is \( (0, 0) \).
2. **Finding the y-intercept**: This is where the graph crosses the y-axis, so we set \( x = 0 \) and solve for \( y \).
\[
0 + 6y = 0 \\
6y = 0 \\
y = 0
\]
Therefore, the y-intercept is \( (0, 0) \).
Both the x-intercept and the y-intercept are the same point in this case, which is \( (0, 0) \). Thus, the intercepts for the equation \( x + 6y = 0 \) are:
\[
(0, 0)
\]
1. **Finding the x-intercept**: This is where the graph crosses the x-axis, so we set \( y = 0 \) and solve for \( x \).
\[
x + 6(0) = 0 \\
x = 0
\]
Therefore, the x-intercept is \( (0, 0) \).
2. **Finding the y-intercept**: This is where the graph crosses the y-axis, so we set \( x = 0 \) and solve for \( y \).
\[
0 + 6y = 0 \\
6y = 0 \\
y = 0
\]
Therefore, the y-intercept is \( (0, 0) \).
Both the x-intercept and the y-intercept are the same point in this case, which is \( (0, 0) \). Thus, the intercepts for the equation \( x + 6y = 0 \) are:
\[
(0, 0)
\]