20 ! brainliest answer included plus 5 star ! write an equation of the line containing the given point and perpendicular to the given line. (0 ,7); 9 x+5y=2

9 x+5y=2

find the slope by solving for y

subtract 9x from each side

5y = -9x+2

divide by 5

y = -9/5 x + 2/5

the slope is -9/5

perpendicular lines have negative reciprocal slopes

-9/5  becomes 5/9

point slope from of a line

(y-y1) = m(x-x1)

y-7 = 5/9 (x-0)

y-7 = 5/9 x

add 7 to each side

y = 5/9 x + 7

this is in slope intercept form

step-by-step explanation:

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