I have math HW and these are the questions i wasn't aware of how to answer... please help.
a)Prove that 4x-y-1=0 is parallel to y=4x-5
b)Show that the points A(3,1), B(5,2) and C(11,5) are collinear
c)Show that the lines y=2x-4 and x+2y-10=0 are perpendicular to one other.
d) Prove that triangle ABC is isoscles given A(3,1), B(-3,7) and C(-1,3)
Math - Reiny, Saturday, September 17, 2011 at 8:46am
a) change the first into the form y = mx + b
4x - y - 1 = 0
-y = -4x + 1
y = 4x - 1
the value of m is the same for both equations, so they are parallel
b) find the slope between 2 different line segments.
If the slope is the same, then they are collinear.
c) slope of first is 2
After changing the second to the form y = mx + b, the value of m should be -1/2 to be perpendicular.
d) find the length of the 3 sides using your distance formula
Two of the lines should be the same