Question

Show that line 3x+y+5=0 and line joining the points (7,0) and (6,3) are parallel to each other!

Answer 1

Step-by-step explanation:

given straight line 3x+y+5=0&line joining the points are (7,0) and (6,3)

now we find the straight line passing through the given points is

y- y1/y2-y1=x-x1/x2-x1

y-0/3-0=x-7/6-7

y/3=x-7/-1

-y=3x-21

y=-3x+21

comparing this with y=m1X+c

here m1=-3

given straight line 3x+y+5=0

y=-3x-5

comparing this with y=m2+c

here m2=-3

m1=m2

we know that if m1=m2 that two straight lines are parallel

hence prooved