Question

6. Write an equation of a line that is Parallel to the line: y = 3x -3

Answer 1

3x - y -6 = 0

Explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

`\rm\implies y = 3x - 3`

Slope Intercept Form :-

`\rm\implies y = mx + c`

where ,

• m is slope
• c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

`\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}`