Hello,Originally Posted by classicstrings
to 1.: Use the slope-formula:
. Plug in the values you know and you'll get:
The slope is the tangens of the angle between line and x-Axis. So the angle is the arctan(m)
to 2.: Even if it isn't exact I'll use
Now use the point-slope-formula:
. Plug in the values you know:
. Solve for y and you'll get:
to 3.: a) The slope is m = -2. Now use the point-slope-formula and you'll get:y=-2x-1
b) Two lines are perpendicular if where l means a line and m the slope of the corresponding line.
Therefore the perpendicular slope is . Now use the point-slope-formula and you'll get:
to 4.: Do the long division
The result is
Divisible means the remainder must be zero(0):
. From the 1rst equation you'll get a=3. Plug this value into the 2nd equation and you'll get b = -24.