Answer:
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
