A line has this equation: - x + 7y = 49 write an equation for the perpendicular line that goes through (5, 3)

Step-by-step explanation:

-x + 7y = 49

convert to slope-intercept form

7y = x + 49

y = x/7 + 49/7

y = x/7 + 7

m = x/7

Perpendicular lines have opposite-reciprocal slopes

y = - 7/x + b

sub (5,3)

3 = - 7 / (5) + b

b = 3 + (7/5)

b = 22/5

final answer: y = - 7/x + 22/5