Question 468153
Perpendicular lines have opposite reciprocal slopes:
m1*m2 = -1
Given that the line is perpendicular to {{{y = (1/7)x +6}}}
m1 = 1/7
Then {{{(1/7)m2 = -1}}}
Multiply by 7 on both sides
{{{m2 = -7}}}
Now use this slope and the given point (4,-3) to obtain equation of a line:
Point-slope form
(y-y1) = m(x-x1)
(y+3) = -7(x - 4)
Distribute
y+3 = -7x + 28
Subtract 3 on both sides
y = -7x + 25