Answer to Question #57669 in Analytic Geometry for sanjiv

Question

Find the angle formed from line 1 to line 2:
a. line 1: 4x - 5y + = 0; line 2: 6x -4y - 12 = 0
b. line 1: 2x + 7y = 0; line 2: 3x - 5y - 15 = 0

Find the equation of the line:
1. having an x-intercept 4 and slope 5
2. through (5, -8) and with intercepts equal
3. through (-6, 3) and with intercepts numerically equal but opposite in sign
4. through (-5, 3) and with x-intercept twice the y-intercept
5. through (3, 2) and having a slope equal to two-thirds of its y-intercept
6. through (-4, -2) and with sum of intercepts 3
7. through (4, -2) and with product of intercepts -18.
8. through (4, -2) and forming with the axes a triangle of area 9 square units