Question 536199
-8x + 3y +7 = -6
-8x + 3y = -13
3y = 8x -13
y = 8/3*x -13/3
.
When x=0, y=-13/3
.
When y = 0,
-8/3*x = -13/3
cross multiply
-8x*3 = 3*-13
-24x = -39
x = 39/24 = 13/8
so
x = 13/8, y =0
.
The equation of the line perpendicular to y = 8/3*x -13/3 will have the slope = to the inverse reciprocal  of the 8/3, which = -3/8.
.
y = -3/8x
.
This line does not have to go through any specific point, so you can leave it there.
.
{{{ graph(500,500,-5,5,-5,5,8/3*x -13/3,-3/8*x) }}}