Question 42280
The line 3x - y = 2 in slope intercept form is y = 3x - 2.
Hence its slope = 3.
So the line parallel to it must also have slope = 3.
Let its equation in slope intercept form be y = 3x + c_____(1).
This line has to pass through (2,-3).
So x = 2 and y = -3 must satisfy the equation (1) of the line.
Substituting x = 2, y = -3 in (1) we have
{{{-3 = 3*2 + c}}}
or c = -9
Putting this value of c in (1) we obtain the reqd. equation to the st. line as
y = 3x - 9.