Question 71084
2x-7y=1
-7y=-2x+1
y=-2x/-7+1/-7
y=2x/7-1/7 the given line has a slope of 2/7.
therefore the perpendicular lines slope is the negative reciprical (-7/2)
now replace the x & y values in the line equation y=mx+b with (-4,0) & sole for the y intercept (b)
0=-7/2*-4+b
0=28/2+b
b=-28/2
b=-14 thus the equation of the perpendicular line is
y=-7x/2-14
here are the two libnes plotted

{{{ graph( 300, 200, -5, 5, -5, 5, y = 2x/7 -1/7, y = -7x/2 -14) }}} (graph 300x200 pixels, x from -5 to 5, y from -5 to 5, of TWO functions y = 2x/7 -1/7 and y = -7x/2 -14).