Which equation represents the line that passes through the point (9.4) and is perpendicular to the graph of 5x + y = 30

y = 1/5x + 2 1/5

Step-by-step explanation:

first find the negative reciprocal slope of 5x + y = 30 because perpendicular lines have negative reciprocal slope:

=> y = -5x + 30, negative reciprocal of the slope -5 is 1/5

substitute the new slope 1/5 and the coordinate (9, 4) into the equation: y = mx + b  to solve for b

=> 4 = 1/5(9) + b

=> 4 = 9/5 + b

=> b = 2 1/5

plug in the slope 1/5 and b = 2 1/5 into the equation: y = mx + b

=> y = 1/5x + 2 1/5