Question

1.Write the equation of the line parallel to the line 10x - 5y = 8 and passing through the point (2,4).. 2.Write the equation of the line parallel to the line 4x + 2y = 5 and passing through the point (-3,5).. 3.Write the equation of the line parallel to the line 4x + y = -1 and passing through the point (5,0).. 4.Write the equation of the line perpendicular to the line x - 5y = -10 and passing through the point (2,5).. 5.Write the equation of the line perpendicular to the line x - 3y = 9 and passing through the point (3,5).. . a.y = -5x + 15. b.y = 2x. c.y = -3x + 14. d.y = -2x

Answer 1

1.) Parallel to 10x - 5y = 8 ; (2,4)

10x - 5y = 8
5y = 10x - 8
y = 2x - 8/5
m = 2

y - 4 = 2(x - 2)
y - 4 = 2x - 4
y = 2x

2.) Parallel to 4x + 2y = 5 ; (-3,5)

4x + 2y = 5
2y = -4x + 5
y = -2x - 5/2
m = -2

y - 5 = -2(x + 3)
y - 5 = -2x - 6
y = -2x -1

3.) Parallel to 4x + y = -1 ; (5,0)

4x + y = -1
y = -4x - 1
m = -4

y - 0 = -4(x - 5)
y = -4x + 20

4.) Perpendicular to x - 5y = -10 ; (2,5)

x - 5y = -10
5y = x + 10
y = x/5 - 2
m = -5

y - 5 = -5(x - 2)
y - 5 = -5x + 10
y = -5x + 15

5.) Perpendicular to x - 3y = 9 ; (3,5)

x - 3y = 9
3y = x - 9
y = x/3 - 3
m = -3

y - 5 = -3(x - 3)
y - 5 = -3x + 9
y = -3x + 14