Write the slope-intercept equation of the function \( f \) whose graph satisfies the given conditions. The graph of \( f \) passes through \( (-9,1) \) and is perpendicular to the line whose equation is \( x=-17 \). The equation of the function is

To find the slope-intercept equation of the function \( f \), we start by noting that the line given by \( x = -17 \) is a vertical line. A line perpendicular to a vertical line is horizontal, which means the slope of our function \( f \) will be 0. Since the function is horizontal, it will have the form \( f(x) = b \), where \( b \) is a constant value. Now, since the graph of \( f \) passes through the point \( (-9, 1) \), we know that when \( x = -9 \), \( f(-9) = 1 \). Therefore, the constant \( b \) must be 1. Putting it all together, the slope-intercept equation of the function is: \[ f(x) = 1 \]