Question

Write the equation of the line perpendicular to the line x - 3y = 9 and passing through the point (3,5).

Write the equation of the line parallel to the line 4x + 2y = 5 and passing through the point (-3,5).
Write the equation of the line parallel to the line 10x - 5y = 8 and passing through the point (2,4).
Write the equation of the line parallel to the line 4x + y = -1 and passing through the point (5,0).
Write the equation of the line perpendicular to the line x - 5y = -10 and passing through the point (2,5).

Answer 1

Here is a sample problem
has to be perpendicular to y=(4/9)*x-2 and pass through 4,3,


y-b=m(x-a)
slope of -9/4 is perpendicular to slope of 4/9, as y=4/9x-2 has slope 4/9. Our point is (4,3) therefore.
y-3=-9/4*(x-4)
y-3=-9/4x+9
y=-9/4x+9+3
y=-9/4x+12