Answer:
y = -2/7x - 27/7
Explanation:
first find the slope of the line -7x + 2y = 14 by solving for 'y'
2y = 7x + 14
y = 7/2x + 7
since the slope is 7/2 then the line that is perpendicular will need the opposite and reciprocal of 7/2 which is -2/7
knowing the slope ('m') and having the point (4, -5) we can find the y-intercept of the new line ('b')
y = mx + b
-5 = (-2/7)(4) + b
-5 = -8/7 + b
[change -5 into -35/7]
-35/7 + 8/7 = b
b = -27/7
put 'm' and 'b' into y = mx + b
y = -2/7x - 27/7