Questions: Find the intercepts for the graph of the equation given. x+7 y=0

Solution Steps

To find the intercepts of the equation \(x + 7y = 0\), we need to determine where the graph intersects the x-axis and y-axis. For the x-intercept, set \(y = 0\) and solve for \(x\). For the y-intercept, set \(x = 0\) and solve for \(y\).

To find the x-intercept, we set \(y = 0\) in the equation \(x + 7y = 0\): \[ x + 7(0) = 0 \implies x = 0 \] Thus, the x-intercept is \((0, 0)\).

To find the y-intercept, we set \(x = 0\) in the equation \(x + 7y = 0\): \[ 0 + 7y = 0 \implies y = 0 \] Thus, the y-intercept is \((0, 0)\).

Final Answer