Algebra
posted by Krissy on .
Name the line which have the following characteristics:
1) Passes through (2,3) & (0,9)
2) Perpendiculat to the line 4x2x=7 and through (1,3)
3) Perpendicular to the segments with endpoints (2,1) & (4,1) and through the midpoint of the segment.
If possible show some quick work (not the full process)
thank you!!

1. slope = (3+9)/20) = 6
so (y3)/(x2)=6
crossmultiply, rearrange for a suitable version of the equation
2. slope of give line = 2, so slope of new line is 1/2
then (y+3)/(x1) = 1/2
crossmultiply, rearrange for a suitable version of the equation
3. midpoint of segment = ((24)/2,(11)/2) = (1,0)
slope of given segment = 1/3
so slope of new line = 3
so (y0)/(x+1) = 3
crossmultiply, rearrange for a suitable version of the equation