Question

Write the equation of a line that is
parallel to 3x + Oy = -9 through the
point (3, 3).

Answer 1

`3x-y-6=0`

Explanation:

Given equation of the line ,

`\implies 3x + 0y = -9`

Convert it into
`y = mx + c` form ,

`\implies 0 = 3x + 9`

Hence , the

• 
  `m = 3`

As we know that the slope of parallel lines is same . Hence on using slope point form ,

`\implies y - y_1 = m(x - x_1) \\\\\implies y - 3 = 3 (x - 3) \\\\\implies y - 3 = 3x - 9 \\\\\implies 3x -9+3-y = 0 \\\\\implies 3x -y-6=0`