Answer to Question #78301 in Linear Algebra for Vaibhavi

Question

1a) what would be the gradient of a line parallel to the straight line 3x-y+4=0

b) what would be the gradient of a line perpendicular to the straight line
5x-2y-1=0

2. State whether the following pairs of lines whose equations are given are parallel, perpendicular or neither.

a. 2x-y+4=0 and 6x-3y+7=0
b. 7x+3y-8=0 and 3x-7y+1=0
c. x+3y-2=0 and 3x-y+4=0

3. Find the equation of the straight lines

a) Passing through the point (3, -2) and parallel to the line 4x-y+6=0

b) Passing through the origin and parallel to the line 5x+3y-7=0

c) Passing through the point (-2,5) and perpendicular to the line 3x-2y+8=0