Question

find the distance of the line 3x-y-15=0from the point of intersection of y+3x+7=0 and y-2x=0
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Answer 1

Step-by-step explanation:

3x−y+5=02x+y−15=0

Solving these two equations simultaneously

x=2y=11

Point 1=(2,11)

Point 2=(0,0) (origin)

Equation of line passing through 1&2

y=mx+c

Here passes through (0,0)

0=0+cc=0y=mx11=m×2m=211y=211x2y−11x=0