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Answer:
slope = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
18x + 3y = 81 ( subtract 18x from both sides )
3y = - 18x + 81 ( divide the terms by 3 )
y = - 6x + 27 ← in slope- intercept form
with slope m = - 6
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-6}[/tex] = [tex]\frac{1}{6}[/tex]
Answer: m = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Find the slope of the line that is perpendicular to 18x + 3y = 81 :: m = 1/6