Agiven line has the equation 2x + 12y = −1. what is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9

2x + 12y = -1
12y = -2x - 1
y = -1/6 x - 1/12

Slope of this line = -1/6 so slospe of the line perpendicular to this = -1 / -1/6 = 6

Answer is y = 6x + 9

Ifound this on google “that means that the graph of a function with direct variation has these features: it is a straight line: because the slope is the ratio y/x = k. it passes through the origin (0,0): because y = kx = k (0) = 0.” i hope this you for what your looking for