Question

Without drawing the graph state weather the following pair of leniar equation will represent interesting lines, coincident line or parallel line 6x-3y+10=0, 2x-y+9=0

Answer 1

it is parallel lines because by applying the formula
$a1 \div a2 = b1 \div b2 = c1 \div c2$
in equation
6x-3y+10=0
2x-y+9=0

a1=6, b1=-3, c1=10
a2=2, b2=-1, c2=9

this can be substitute in that formula
$6 \div 2 = - 3 \div - 1 = 10 \div 9$
3=3 not equal to 10/9

Answer 2

You need to draw a graph to explain it comment back if you want me to explain with graph