Question 334032
(0,2); 

2x+9y=7 
add-2x to both sides
2x-2x+9y=-2x-7
9y=-2x-7
divide by 9
y= -2/9x -7/9
..
slope = -2/9
..
the slope of a lin perpendicular to this line will be 9/2
..
y = mx +b
(0,2)
plug the value of x,y to get b
2= 0+b
b=2
y= 9/2 *x +2 is the line
..
{{{graph(500,500,-10,10,-10,10,(-2/9)x-7/9,(9/2)*x+2)}}}